BACKLUND TRANSFORMATION OF A NON-ISOSPECTRAL KPESCS AND ITS NONLINEAR COUPLED SYSTEM

被引：1

作者：

Sun, Ye-Peng ^{[1
]}

Yu, Guo-Fu ^{[2
]}

机构：

[1] Shandong Econ Univ, Sch Math & Stat, Jinan 250014, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2009年 / 23卷 / 30期

基金：

中国国家自然科学基金;

关键词：

Non-isospectral KP equation; Backlund transformation; source generation procedure; self-consistent sources; Gramm-type determinant solution; nonlinear coupled system; SELF-CONSISTENT SOURCES; KADOMTSEV-PETVIASHVILI EQUATION; KDV EQUATION; DARBOUX TRANSFORMATIONS; SUPERPOSITION FORMULA; KP EQUATION; SOLITON; HIERARCHY; PFAFFIANIZATION; INTEGRATION;

D O I：

10.1142/S0217984909021636

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) is first derived by using the source generation procedure. Moreover, its bilinear Backlund transformation is obtained. Furthermore, a new nonlinear coupled system of the non-isospectral KPESCS and its exact solutions are established. The new coupled system cannot only be reduced to the non-isospectral KPESCS but can also be reduced to the coupled non-isospectral KP equation.

引用

页码：3581 / 3595

页数：15

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