Soliton-like solutions for the modified variable-coefficient Ginzburg–Landau equation |
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| Authors: | Jian-Guo Liu Ye-Zhou Li Bo Tian |
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| Affiliation: | 1. Mathematical Teaching and Research Department, JiangXi BlueSky University, JiangXi 330098, China;2. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;3. Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamical, Beijing 100876, China;1. Department of Physics, Honghe University, Mengzi, Yunnan, 661100, PR China;2. College of Mathematics, Honghe University, Mengzi, Yunnan, 661100, PR China;1. School of Mathematics and Computer Science, Fujian Normal University, 350007 Fuzhou, PR China;2. Department of Mathematics, Shanghai Normal University, 200234 Shanghai, PR China;1. Department of Applied Mathematics, Jiangsu University of Technology, Changzhou Jiangsu 213001, PR China;2. Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang Jiangsu 212013, PR China |
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| Abstract: | This paper is devoted to studying the solutions of the modified Ginzburg–Landau equation with variable coefficient. Based on computerized symbolic computation, several families of new exact dark- and bright-soliton-like solutions are presented. Moreover, we derive some similarity solutions, which can be illustrated in terms of the elliptic and the second kind of Painlevé transcendent equation. |
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