2011Unpublished venueRequires access

New Exact Solutions for (2+1)-Dimensional Kadomtsev-Petciashivili Equation

Libo Yang, Dianchen Lu

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Abstract

In this paper, using extended ( �� �� ' )-expansion method, we construct several new exact solutions for (2+1)- dimensional K-P(Kadomtsev-Petciashivili) equation. These solutions include hyperbolic function solutions, trigonometric function solutions, and rational function solutions. And when the constant of the hyperbolic function solutions are set at special values we obtain solitary wave solutions.

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What this paper is about

In this paper, using extended ( �� �� ' )-expansion method, we construct several new exact solutions for (2+1)- dimensional K-P(Kadomtsev-Petciashivili) equation. These solutions include hyperbolic function solutions, trigonometric function solutions, and rational function solutions. And when the constant of the hyperbolic function solutions are set at special values we obtain solitary wave solutions.

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Available abstract

In this paper, using extended ( �� �� ' )-expansion method, we construct several new exact solutions for (2+1)- dimensional K-P(Kadomtsev-Petciashivili) equation. These solutions include hyperbolic function solutions, trigonometric function solutions, and rational function solutions. And when the constant of the hyperbolic function solutions are set at special values we obtain solitary wave solutions.

Key concepts: Hyperbolic function, Trigonometric functions, Mathematics, Mathematical analysis, Function (biology), Constant (computer programming), Rational function, Applied mathematics

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