A BACKLUND TRANSFORMATION AND NONLINEAR SUPERPOSITION FORMULA OF A MODIFIED KORTEWEG-DE VRIES-TYPE BILINEAR EQUATION

被引：15

作者：

HU, XB ^{[1
]}

机构：

[1] ACAD SINICA,CTR COMP,BEIJING 100080,PEOPLES R CHINA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 09期

关键词：

D O I：

10.1063/1.530811

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A modified Korteweg-de Vries (mKdV)-type bilinear equation that has been shown to pass the three-soliton solution and the Painleve tests [see, J. Math. Phys. 2094, 28 (1987); 2572, 31 (1990)] is considered herein. In this article, a Backlund transformation and a nonlinear superposition formula are proven rigorously. As an application of the obtained results, N-soliton solutions are obtained. Therefore, the integrability of this mKdV-type bilinear equation is confirmed.

引用

页码：4739 / 4745

页数：7

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