Variable coefficient equations of the Kadomtsev-Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions

被引：49

作者：

Jaradat, H. M. ^{[1
]}

Al-Shara, Safwan ^{[1
]}

Awawdeh, Fadi ^{[2
]}

Alquran, Marwan ^{[3
]}

机构：

[1] Al al Bayt Univ, Dept Math, Mafraq 25113, Jordan

[2] Hashemite Univ, Dept Math, Zarqa 13115, Jordan

[3] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan

来源：

PHYSICA SCRIPTA | 2012年 / 85卷 / 03期

关键词：

DE VRIES EQUATION; KP EQUATION; SYMBOLIC COMPUTATION; KDV EQUATION; GRAMMIAN SOLUTIONS; PFAFFIANIZATION; COLLISIONS;

D O I：

10.1088/0031-8949/85/03/035001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give an introduction to a new direct computational method for constructing multiple soliton solutions to nonlinear equations with variable coefficients in the Kadomtsev-Petviashvili (KP) hierarchy. We discuss in detail how this works for a generalized (3 + 1)-dimensional KP equation with variable coefficients. Explicit soliton, multiple soliton and singular multiple soliton solutions of the equation are obtained under certain constraints on the coefficient functions. Furthermore, the characteristic-line method is applied to discuss the solitonic propagation and collision under the effect of variable coefficients.

引用

页数：7

共 37 条

[1]

ANJAN B, 2009, NONLINEAR DYNAM, V58, P345

[2]

[Anonymous], COMPUT APPL MATH 2

[3] A generalized variable-coefficient algebraic method exactly solving (3+1)-dimensional Kadomtsev-Petviashvilli equation [J].