APPLICATION OF EXP-FUNCTION METHOD FOR A CLASS OF NONLINEAR PDE'S ARISING IN MATHEMATICAL PHYSICS
2011
In this paper we apply the Exp-function method to obtain traveling wave solutions of three nonlinear partial differential equations, namely, generalized sinh-Gordon equation, generalized form of the famous sinh-Gordon equation, and double combined sinh-cosh-Gordon equation. These equations play a very important role in mathematical physics and engineering sciences. The Exp-Function method changes the problem from solving nonlinear partial differential equations to solving a ordinary differential equation. Mainly we try to present an application of Exp-function method taking to consideration rectifying a commonly occurring errors during some of recent works.
Keywords:
- First-order partial differential equation
- Stochastic partial differential equation
- Method of characteristics
- Separable partial differential equation
- FTCS scheme
- Mathematical physics
- Partial differential equation
- Differential equation
- Mathematical analysis
- Hyperbolic partial differential equation
- Mathematics
- Elliptic partial differential equation
- Exact differential equation
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