Rational and complexiton solutions of the (3+1)-dimensional KP equation

In this paper, the (3+1)-dimensional KP equation is mainly discussed. Based on the Wronskian technique, the double Wronskian solution is established. Generating functions for matrix entries satisfy the linear system of partial differential equations involving free parameters. Rational, Matveev, and...

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Bibliographic Details
Published in:Nonlinear dynamics 2013-05, Vol.72 (3), p.605-613
Main Authors: Cheng, Li, Zhang, Yi, Tong, Zi-Shuang, Ge, Jian-Ya
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Linear systems
Mathematical analysis
Matrix methods
Mechanical Engineering
Nonlinear dynamics
Original Paper
Partial differential equations
Vibration
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Summary:In this paper, the (3+1)-dimensional KP equation is mainly discussed. Based on the Wronskian technique, the double Wronskian solution is established. Generating functions for matrix entries satisfy the linear system of partial differential equations involving free parameters. Rational, Matveev, and complexiton solutions are obtained by taking special cases in a general double Wronskian solution.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-012-0738-y