New Exact Solutions of Some Nonlinear Partial Differential Equations via the Hyperbolic-sine Function Method
2014
In this paper, we establish exact solutions for some nonlinear partial differential equations. The hyperbolic-sine method [16] is used to construct periodic and solitary wave solutions for some soliton equations and systems such as the generalized Klien-Gordon, the general improved Kadomtsev-Petviashvili (KP), and the Zakharov-Kuznetsov (ZK) with power law nonlinearity equations, the generalized coupled Drinfeld –sokolov – wilso, and the generalized coupled Hirota-Satsuma Kdv systems.
Keywords:
- Stochastic partial differential equation
- Examples of differential equations
- Method of characteristics
- Separable partial differential equation
- Mathematical analysis
- Numerical partial differential equations
- Hyperbolic partial differential equation
- Nonlinear system
- Symbol of a differential operator
- Mathematics
- Exponential integrator
- First-order partial differential equation
- Collocation method
- Differential equation
- Correction
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