{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T03:27:02Z","timestamp":1762918022882,"version":"build-2065373602"},"reference-count":62,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T00:00:00Z","timestamp":1559001600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, a new lattice Boltzmann model for the two-component system of coupled sine-Gordon equations is presented by using the coupled mesoscopic Boltzmann equations. Via the Chapman-Enskog multiscale expansion, the macroscopical governing evolution system can be recovered correctly by selecting suitable discrete equilibrium distribution functions and the amending functions. The mesoscopic model has been validated by several related issues where analytic solutions are available. The experimental results show that the numerical results are consistent with the analytic solutions. From the mesoscopic point of view, the present approach provides a new way for studying the complex nonlinear partial differential equations arising in natural nonlinear phenomena of engineering and science.<\/jats:p>","DOI":"10.3390\/e21060542","type":"journal-article","created":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T11:18:09Z","timestamp":1559042289000},"page":"542","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Mesoscopic Simulation of the Two-Component System of Coupled Sine-Gordon Equations with Lattice Boltzmann Method"],"prefix":"10.3390","volume":"21","author":[{"given":"Demei","family":"Li","sequence":"first","affiliation":[{"name":"College of Mathematics and Informatics, FJKLMAA, Fujian Normal University, Fuzhou 350007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huilin","family":"Lai","sequence":"additional","affiliation":[{"name":"College of Mathematics and Informatics, FJKLMAA, Fujian Normal University, Fuzhou 350007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chuandong","family":"Lin","sequence":"additional","affiliation":[{"name":"Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-Sen University, Zhuhai 519082, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,5,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4255","DOI":"10.3390\/e17064255","article-title":"New hyperbolic function solutions for some nonlinear partial differential equation arising in mathematical physics","volume":"17","author":"Baskonus","year":"2015","journal-title":"Entropy"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/j.amc.2015.07.060","article-title":"Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications","volume":"269","author":"Vitanov","year":"2015","journal-title":"Appl. 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