{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,24]],"date-time":"2025-08-24T01:38:14Z","timestamp":1755999494624},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2022,11,17]],"date-time":"2022-11-17T00:00:00Z","timestamp":1668643200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,11,17]],"date-time":"2022-11-17T00:00:00Z","timestamp":1668643200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["JAMA"],"published-print":{"date-parts":[[2022,12]]},"DOI":"10.1007\/s11854-022-0240-5","type":"journal-article","created":{"date-parts":[[2022,11,17]],"date-time":"2022-11-17T06:02:46Z","timestamp":1668664966000},"page":"681-710","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Mass-transfer instability of ground-states for Hamiltonian Schr\u00f6dinger systems"],"prefix":"10.1007","volume":"148","author":[{"given":"Sim\u00e3o","family":"Correia","sequence":"first","affiliation":[]},{"given":"Filipe","family":"Oliveira","sequence":"additional","affiliation":[]},{"given":"Jorge D.","family":"Silva","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,11,17]]},"reference":[{"key":"240_CR1","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1142\/S0219891614500040","volume":"11","author":"P Antonelli","year":"2014","unstructured":"P. Antonelli and R. M. Weish\u00e4upl, Asymptotic behavior of nonlinear Schr\u00f6dinger systems with linear coupling, J. Hyperbolic Differ. Equ. 11 (2014), 159\u2013183.","journal-title":"J. Hyperbolic Differ. Equ."},{"key":"240_CR2","series-title":"Dynamics Reported, Vol. 2","first-page":"1","volume-title":"Invariant manifolds for semilinear partial differential equations","author":"P W Bates","year":"1989","unstructured":"P. W. Bates and C. K. R. T. Jones, Invariant manifolds for semilinear partial differential equations, in Dynamics Reported, Vol. 2, Wiley, Chichester, 1989, pp. 1\u201338."},{"key":"240_CR3","doi-asserted-by":"publisher","DOI":"10.1090\/cln\/010","volume-title":"Semilinear Schr\u00f6dinger Equations","author":"T Cazenave","year":"2003","unstructured":"T. Cazenave, Semilinear Schr\u00f6dinger Equations, American Mathematical Society, Providence, RI, 2003."},{"key":"240_CR4","doi-asserted-by":"publisher","first-page":"1000","DOI":"10.1088\/0951-7715\/29\/3\/1000","volume":"29","author":"M Colin","year":"2016","unstructured":"M. Colin, L. Di Menza and J. C. Saut, Solitons in quadratic media, Nonlinearity 29 (2016), 1000\u20131035.","journal-title":"Nonlinearity"},{"key":"240_CR5","doi-asserted-by":"publisher","first-page":"969","DOI":"10.4310\/CMS.2019.v17.n4.a5","volume":"17","author":"A J Corcho","year":"2019","unstructured":"A. J. Corcho, S. Correia, F. Oliveira and J. D. Silva, On a nonlinear Schr\u00f6dinger system arising in quadratic media, Commun. Math. Sci. 17 (2019), 969\u2013987.","journal-title":"Commun. Math. Sci."},{"key":"240_CR6","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1016\/j.na.2016.03.006","volume":"140","author":"S Correia","year":"2016","unstructured":"S. Correia, Ground-states for systems of M coupled semilinear Schr\u00f6dinger equations with attraction-repulsion effects: characterization and perturbation results, Nonlinear Anal. 140 (2016), 112\u2013129.","journal-title":"Nonlinear Anal."},{"key":"240_CR7","doi-asserted-by":"publisher","first-page":"2247","DOI":"10.1016\/j.jfa.2016.06.017","volume":"271","author":"S Correia","year":"2016","unstructured":"S. Correia, F. Oliveira and H. Tavares, Semitrivial vs. fully nontrivial ground states in cooperative cubic Schr\u00f6dinger systems with d \u2265 3 equations, J. Funct. Anal. 271 (2016), 2247\u20132273.","journal-title":"J. Funct. Anal."},{"key":"240_CR8","first-page":"403","volume":"54","author":"J M Gon\u00e7alves Ribeiro","year":"1991","unstructured":"J. M. Gon\u00e7alves Ribeiro, Instability of symmetric stationary states for some nonlinear Schr\u00f6dinger equations with an external magnetic field, Ann. Inst. H. Poincar\u00e9 Phys. Th\u00e9or. 54 (1991), 403\u2013433.","journal-title":"Ann. Inst. H. Poincar\u00e9 Phys. Th\u00e9or."},{"key":"240_CR9","doi-asserted-by":"publisher","first-page":"160","DOI":"10.1016\/0022-1236(87)90044-9","volume":"74","author":"M Grillakis","year":"1987","unstructured":"M. Grillakis, J. Shatah and W. Strauss, Stability theory of solitary waves in the presence of symmetry. I, J. Funct. Anal. 74 (1987), 160\u2013197.","journal-title":"J. Funct. Anal."},{"key":"240_CR10","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1016\/0022-1236(90)90016-E","volume":"94","author":"M Grillakis","year":"1990","unstructured":"M. Grillakis, J. Shatah and W. Strauss, Stability theory of solitary waves in the presence of symmetry. II, J. Funct. Anal. 94 (1990), 308\u2013348.","journal-title":"J. Funct. Anal."},{"key":"240_CR11","doi-asserted-by":"publisher","first-page":"7213","DOI":"10.1016\/j.jde.2019.07.019","volume":"267","author":"J Jin","year":"2019","unstructured":"J. Jin, Z. Lin and C. Zeng, Dynamics near the solitary waves of the supercritical gKDV equations, J. Differential Equations 267 (2019), 7213\u20137262.","journal-title":"J. Differential Equations"},{"key":"240_CR12","doi-asserted-by":"publisher","first-page":"1699","DOI":"10.1142\/S0218202513500206","volume":"23","author":"A J\u00fcngel","year":"2013","unstructured":"A. J\u00fcngel and R.-M. Weish\u00e4upl, Blow-up in two-component nonlinear Schr\u00f6dinger systems with an external driven field, Math. Models Methods Appl. Sci. 23 (2013), 1699\u20131727.","journal-title":"Math. Models Methods Appl. Sci."},{"key":"240_CR13","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-6995-7","volume-title":"Spectral and Dynamical Stability of Nonlinear Waves","author":"T Kapitula","year":"2013","unstructured":"T. Kapitula and K. Promislow, Spectral and Dynamical Stability of Nonlinear Waves, Springer, New York, 2013."},{"key":"240_CR14","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1016\/S0167-2789(98)00172-9","volume":"124","author":"T Kapitula","year":"1998","unstructured":"T. Kapitula and B. Sandstede, Stability of bright solitary-wave solutions to perturbed nonlinear Schr\u00f6dinger equations, Phys. D 124 (1998), 58\u2013103.","journal-title":"Phys. D"},{"key":"240_CR15","doi-asserted-by":"publisher","first-page":"795","DOI":"10.1007\/s00220-011-1361-3","volume":"308","author":"E Kirr","year":"2011","unstructured":"E. Kirr, P. G. Kevrekidis and D. E. Pelinovsky, Symmetry-breaking bifurcation in the nonlinear Schr\u00f6dinger equation with symmetric potentials, Comm. Math. Phys. 308 (2011), 795\u2013844.","journal-title":"Comm. Math. Phys."},{"key":"240_CR16","doi-asserted-by":"publisher","first-page":"152","DOI":"10.1016\/S0378-4371(00)00420-9","volume":"288","author":"Y S Kivshar","year":"2000","unstructured":"Y. S. Kivshar, A. A. Sukhorukov, E. A. Ostrovskaya, T. J. Alexander, O. Bang, S. M. Saltiel, C. B. Clausen and P. L. Christiansen, Multi-component optical solitary waves, Phys. A 288 (2000), 152\u2013173.","journal-title":"Phys. A"},{"key":"240_CR17","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1007\/s00220-005-1313-x","volume":"255","author":"T-C Lin","year":"2005","unstructured":"T.-C. Lin and J. Wei, Ground state of N coupled nonlinear Schr\u00f6dinger equations in Rn, n \u2264 3, Comm. Math. Phys. 255 (2005), 629\u2013653.","journal-title":"Comm. Math. Phys."},{"key":"240_CR18","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1017\/S0308210513000711","volume":"145","author":"H Liu","year":"2015","unstructured":"H. Liu, Z. Liu and J. Chang, Existence and uniqueness of positive solutions of nonlinear Schr\u00f6dinger systems, Proc. Roy. Soc. Edinburgh Sect. A 145 (2015), 365\u2013390.","journal-title":"Proc. Roy. Soc. Edinburgh Sect. A"},{"key":"240_CR19","doi-asserted-by":"publisher","first-page":"4725","DOI":"10.1103\/PhysRevE.56.4725","volume":"56","author":"B A Malomed","year":"1997","unstructured":"B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson and M. Lisak, Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity, Phys. Rev. E 56 (1997), 4725\u20134735.","journal-title":"Phys. Rev. E"},{"key":"240_CR20","first-page":"2434","volume":"11","author":"C R Menyuk","year":"1994","unstructured":"C. R. Menyuk, R. Schiek and L. Torner, Solitary waves due to \u03c7(2):\u03c7(2) cascading, J. Opt. B Quantum Semiclass. Opt. 11 (1994), 2434\u20132443.","journal-title":"J. Opt. B Quantum Semiclass. Opt."},{"key":"240_CR21","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/S0030-4018(96)00770-5","volume":"137","author":"D Mihalache","year":"1997","unstructured":"D. Mihalache, D. Mazilu, L.-C. Crasovan and L. Torner, Stationary walking solitons in bulk quadratic nonlinear media, Optics Comm. 137 (1997), 113\u2013117.","journal-title":"Optics Comm."},{"key":"240_CR22","doi-asserted-by":"publisher","DOI":"10.4171\/095","volume-title":"Invariant Manifolds and Dispersive Hamiltonian Evolution Equations","author":"K Nakanishi","year":"2011","unstructured":"K. Nakanishi and W. Schlag, Invariant Manifolds and Dispersive Hamiltonian Evolution Equations, European Mathematical Society (EMS), Z\u00fcrich, 2011."},{"key":"240_CR23","doi-asserted-by":"crossref","unstructured":"F. Oliveira and A. Pastor, Onaschr\u00f6dinger system arizing in nonlinear optics, Anal. Math. Phys. 11 (2021), Article no. 123.","DOI":"10.1007\/s13324-021-00554-9"},{"key":"240_CR24","doi-asserted-by":"publisher","first-page":"2217","DOI":"10.3934\/cpaa.2019100","volume":"18","author":"A Pastor","year":"2019","unstructured":"A. Pastor, On three-wave interaction Schr\u00f6dinger systems with quadratic nonlinearities: global well-posedness and standing waves, Commun. Pure Appl. Anal. 18 (2019), 2217\u20132242.","journal-title":"Commun. Pure Appl. Anal."},{"key":"240_CR25","first-page":"1488","volume":"15","author":"R A Sammut","year":"1998","unstructured":"R. A. Sammut, A. V. Buryak, and Y. S. Kivshar, Bright and dark solitary waves in the presence of third-harmonic generation, J. Opt. B Quantum Semiclass. Opt. 15 (1998), 1488\u20131496.","journal-title":"J. Opt. B Quantum Semiclass. Opt."},{"key":"240_CR26","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1007\/BF01212446","volume":"100","author":"J Shatah","year":"1985","unstructured":"J. Shatah and W. Strauss, Instability of nonlinear bound states, Comm. Math. Phys. 100 (1985), 173\u2013190.","journal-title":"Comm. Math. Phys."},{"key":"240_CR27","doi-asserted-by":"publisher","first-page":"929","DOI":"10.1007\/s00220-019-03484-7","volume":"369","author":"A Stefanov","year":"2019","unstructured":"A. Stefanov, On the normalized ground states of second order PDE\u2019s with mixed power non-linearities, Comm. Math. Phys. 369 (2019), 929\u2013971.","journal-title":"Comm. Math. Phys."},{"key":"240_CR28","doi-asserted-by":"publisher","first-page":"5718","DOI":"10.1103\/PhysRevLett.81.5718","volume":"81","author":"E Timmermans","year":"1998","unstructured":"E. Timmermans, Phase separation of Bose-Einstein condensates, Phys. Rev. Lett. 81 (1998), 5718\u20135721.","journal-title":"Phys. Rev. Lett."},{"key":"240_CR29","doi-asserted-by":"publisher","first-page":"4428","DOI":"10.1002\/mma.4905","volume":"41","author":"S Yin","year":"2018","unstructured":"S. Yin, Stability and instability of the standing waves for the Klein\u2014Gordon\u2014Zakharov system in one space dimension, Math. Methods Appl. Sci. 41 (2018), 4428\u20134447.","journal-title":"Math. Methods Appl. Sci."}],"container-title":["Journal d'Analyse Math\u00e9matique"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11854-022-0240-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11854-022-0240-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11854-022-0240-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,23]],"date-time":"2022-12-23T15:22:43Z","timestamp":1671808963000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11854-022-0240-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,17]]},"references-count":29,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,12]]}},"alternative-id":["240"],"URL":"https:\/\/doi.org\/10.1007\/s11854-022-0240-5","relation":{},"ISSN":["0021-7670","1565-8538"],"issn-type":[{"value":"0021-7670","type":"print"},{"value":"1565-8538","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11,17]]},"assertion":[{"value":"3 February 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 June 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 November 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}