Periodic and rational solutions of variable-coefficient modified Korteweg-de Vries equation

被引：11
|
作者：
Pal, Ritu [1 ]
Kaur, Harleen [1 ]
Raju, Thokala Soloman [2 ]
Kumar, C. N. [1 ]
机构：
[1] Panjab Univ, Dept Phys, Chandigarh 160014, India
[2] Indian Inst Sci Educ & Res IISER Tirupati, Tirupati 517507, Andhra Prades, India
来源：
NONLINEAR DYNAMICS | 2017年 / 89卷 / 01期
关键词：
vc-mKdV; Multivariate transformation; Periodic and rational solutions; MODIFIED KDV EQUATION; ION-ACOUSTIC SOLITON; MKDV EQUATIONS; DEVRIES EQUATION; WAVE-GUIDES; PLASMA; DYNAMICS; MODELS; LASER; TDGL;
D O I：
10.1007/s11071-017-3475-4
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
With the aid of multivariate transformation technique, we obtain periodic and rational solutions for variable-coefficient modified Korteweg-de Vries (vc-mKdV) equation. The rational solutions can be obtained as limiting cases of periodic solutions in analogy with the rational solutions of nonlinear Schrdinger equation (NLSE). Further, the effect of variation of parameters on solutions is studied for physically relevant periodic form. Unlike the effect of variation of parameters on solutions of NLSE, where both amplitude and width can be controlled, only path or trajectory of solutions of vc-mKdV equation can be modulated.
引用
收藏
页码：617 / 622
页数：6
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