MULTIPLE SOLITON SOLUTIONS FOR TWO INTEGRABLE COUPLINGS OF THE MODIFIED KORTEWEG-DE VRIES EQUATION

被引：0

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2013年 / 14卷 / 03期

关键词：

integrable couplings; backlund transformations; modified Korteweg-de Vries equation; multiple soliton solutions;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work, we use the algebra of coupled scalars to develop two kinds of nonlinear integrable couplings of the modified Korteweg-de Vries (mKdV) equation. One of the integrable couplings of the mKdV equation gives multiple soliton solutions of distinct amplitudes, whereas the second kind gives multiple singular soliton solutions of distinct amplitudes as well. The Backlund transformation and the simplified Hirota's method will be used for this study. We show that these couplings possess multiple soliton solutions the same as the multiple soliton solutions of the mKdV equation, but differ only in the coefficients of the Backlund transformation. This difference exhibits soliton solutions with distinct amplitudes.

引用

页码：219 / 225

页数：7

共 20 条

[1]

BASZAK M., 2012, APPL MATH COMPUT, V219, P1866

[2]

Fa-Jun Y, 2012, CHINESE PHYS B, V21

[3] Integrable couplings of C-KdV equations hierarchy with self-consistent sources associated with (sl)over-tilde(4) [J].