期刊
NONLINEAR DYNAMICS
卷 90, 期 2, 页码 1363-1371出版社
SPRINGER
DOI: 10.1007/s11071-017-3732-6
关键词
System of the two-mode coupled mKdV; Simplified bilinear method; N-soliton solutions; Singular soliton solutions; Trigonometric-function method
In this paper, we study the system of the two-mode coupled mKdV using the simplified bilinear method. We find the necessary conditions that make the solutions exists. In addition, we investigate the multiple soliton and multiple singular soliton solutions of this system. We find the necessary conditions to have N-soliton solutions. To verify the efficiency of our approach, we apply the trigonometric-function methods. The trigonometric-function methods produce 27 different solutions to this system. These solutions are the same solutions that are produced by the simplified bilinear method. Up to our knowledge, this study is new and we can apply the same idea to the other coupled systems.
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