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Interaction solutions for supersymmetric mKdV-B equation  ( SCI-EXPANDED收录)   被引量:10

文献类型:期刊文献

英文题名:Interaction solutions for supersymmetric mKdV-B equation

作者:Ren, Bo[1]

机构:[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份:2016

卷号:54

期号:4

起止页码:628

外文期刊名:CHINESE JOURNAL OF PHYSICS

收录:SCI-EXPANDED(收录号:WOS:000384737300019)、、Scopus(收录号:2-s2.0-84988487367)、WOS

基金:This work was partially supported by the National Natural Science Foundation of China under Grant nos. 11305106, 11275129 and 11347183.

语种:英文

外文关键词:Supersymmetric mKdV-B equation; Bosonization approach; Consistent tanh expansion method; Interaction solutions

外文摘要:The N = 1 supersymmetric mKdV-B system is transformed to a system of coupled bosonic equations by using the bosonization approach. The bosonized supersymmetric mKdV-B (BSmKdV-B) equation includes the usual mKdV equation and a linear partial differential equation. The bosonization approach can thus effectively avoid difficulties caused by anti-commutative fermionic fields of the supersymmetric systems. The consistent tanh expansion (CTE) method is applied to the BSmKdV-B equation. A nonauto-Backlund (BT) theorem is obtained by using CTE method. The interaction solutions among solitons and other complicated waves including Painleve II waves and periodic cnoidal waves are given through a nonauto-BT theorem. The features of the soliton-cnoidal interaction solutions are investigated both in analytical and graphical ways by combining the mapping and deformation method. (C) 2016 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.

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