2007•Journal of Mathematical PhysicsRequires access

Double elliptic equation method and new exact solutions of the (n+1)-dimensional sinh-Gordon equation

Huaitang Chen, Huicheng Yin

Abstract

The double elliptic equation method is presented for constructing exact traveling wave solutions of nonlinear partial differential equations. With the aid of Maple, more new exact solutions are obtained for the (n+1)-dimensional sinh-Gordon equation. These solutions contain logarithmic functions, Jacobi elliptic functions, hyperbolic functions, trigonometric functions, and their combinations.

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Key concepts: Hyperbolic function, Mathematics, Trigonometric functions, Jacobi elliptic functions, Elliptic function, Mathematical analysis, Partial differential equation, Elliptic partial differential equation