{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T09:59:07Z","timestamp":1742983147478,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642252549"},{"type":"electronic","value":"9783642252556"}],"license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-25255-6_21","type":"book-chapter","created":{"date-parts":[[2011,12,7]],"date-time":"2011-12-07T07:24:03Z","timestamp":1323242643000},"page":"161-168","source":"Crossref","is-referenced-by-count":0,"title":["Reduced 4th-Order Eigenvalue Problem"],"prefix":"10.1007","author":[{"given":"Shu-hong","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bao-cai","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhu-quan","family":"Gu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"21_CR1","volume-title":"Nonlinear Physics","author":"C.W. Cao","year":"1990","unstructured":"Cao, C.W., Geng, X.G.: Research Reports in Physics. In: Nonlinear Physics. Springer, Heidelberg (1990)"},{"key":"21_CR2","first-page":"5","volume":"7","author":"C.W. Cao","year":"1991","unstructured":"Cao, C.W.: A Classica Integrable Systems and the Involutive of Solutions of the KDV Equation. Acta Math. Sinica, New Series\u00a07, 5\u201315 (1991)","journal-title":"Acta Math. Sinica, New Series"},{"key":"21_CR3","doi-asserted-by":"publisher","first-page":"1451","DOI":"10.1016\/S0960-0779(01)00152-7","volume":"B","author":"W.X. Ma","year":"2002","unstructured":"Ma, W.X.: Binary Nonlinearization of Spectrial Problems of the Perturbation AKNS Systems. Chaos Solitions & Fractals\u00a0B, 1451\u20131463 (2002)","journal-title":"Chaos Solitions & Fractals"},{"issue":"5","key":"21_CR4","first-page":"605","volume":"123B","author":"Z.Q. Gu","year":"2008","unstructured":"Gu, Z.Q.: Two New Completely Integrable Systems Related to the KDV Equation Hierarchy. IL Nuove Cimento\u00a0123B(5), 605\u2013622 (2008)","journal-title":"IL Nuove Cimento"},{"issue":"8","key":"21_CR5","first-page":"871","volume":"122B","author":"Z.Q. Gu","year":"2007","unstructured":"Gu, Z.Q.: A New Constrained Flow for Boussinesq-Burgers\u2019 Hierarchy. IL Nuove Cimento\u00a0122B(8), 871\u2013884 (2007)","journal-title":"IL Nuove Cimento"},{"issue":"2","key":"21_CR6","doi-asserted-by":"crossref","first-page":"218","DOI":"10.4208\/jcm.2009.10-m1002","volume":"28","author":"X. Huang","year":"2010","unstructured":"Huang, X., Bai, Z.J., Su, Y.F.: Nonlinear Rank-one Modification of the Symmetric Eigenvalue Problems. Journal of Computational Mathematics\u00a028(2), 218\u2013234 (2010)","journal-title":"Journal of Computational Mathematics"},{"key":"21_CR7","doi-asserted-by":"crossref","unstructured":"Adler, M.: On a trace functional for formal pseudo-Differential operators and the symplectic structure of the KDV type equations. Inventions Mathematical, 19\u2013248 (1979)","DOI":"10.1007\/BF01410079"},{"key":"21_CR8","doi-asserted-by":"publisher","first-page":"665","DOI":"10.1016\/j.aml.2010.02.002","volume":"03","author":"D.S. Wang","year":"2010","unstructured":"Wang, D.S.: Complete Integrability and the Miura Transformation of a Coupled KDV Equation. Appl. Math. Lett.\u00a003, 665\u2013669 (2010)","journal-title":"Appl. Math. Lett."},{"issue":"6","key":"21_CR9","first-page":"615","volume":"117B","author":"Z.Q. Gu","year":"2002","unstructured":"Gu, Z.Q.: The Neumann system for the 3rd-order eigenvalue problems related to the Boudssinesq equation. IL Nuovc Cimento\u00a0117B(6), 615\u2013632 (2002)","journal-title":"IL Nuovc Cimento"},{"issue":"6","key":"21_CR10","doi-asserted-by":"publisher","first-page":"1498","DOI":"10.1063\/1.529256","volume":"32","author":"Z.Q. Gu","year":"1991","unstructured":"Gu, Z.Q.: Complex confocal involution system associated with the solutions of the AKNS evolution equations. J. Math. Phys.\u00a032(6), 1498\u20131504 (1991)","journal-title":"J. Math. Phys."},{"key":"21_CR11","first-page":"23540","volume":"51","author":"D.S. Wang","year":"2010","unstructured":"Wang, D.S., Zhang, D.J., Yang, J.K.: Integrable Properities of the General Completed Nonlinear Schodinger Equations. J. Math. Phys.\u00a051, 023540 (2010)","journal-title":"J. Math. Phys."},{"key":"21_CR12","first-page":"296","volume":"212","author":"X. Zeng","year":"2009","unstructured":"Zeng, X., Wang, D.S.: A Generalized Extended Rational Expansion Method and its Application to (1+1)-dimensional Dispersive Long Wave Equation. Appl. Math. Comput.\u00a0212, 296\u2013304 (2009)","journal-title":"Appl. Math. Comput."},{"key":"21_CR13","doi-asserted-by":"publisher","first-page":"2344","DOI":"10.1016\/j.cnsns.2009.10.020","volume":"15","author":"Y.H. Cao","year":"2010","unstructured":"Cao, Y.H., Wang, D.S.: Prolongation Structures of a Generelized Coupled Korteweg-de Vries Equation and Miura Transformation. Commun. in Nonl. Sci. and Num. Simul.\u00a015, 2344\u20132349 (2010)","journal-title":"Commun. in Nonl. Sci. and Num. Simul."}],"container-title":["Lecture Notes in Computer Science","Information Computing and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-25255-6_21","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,20]],"date-time":"2019-06-20T09:22:10Z","timestamp":1561022530000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-25255-6_21"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642252549","9783642252556"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-25255-6_21","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2011]]}}}