NEW EXACT SOLUTIONS OF SOME NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA THE IMPROVED EXP-FUNCTION METHOD
2014
In this paper, we establish new exact solutions of some nonlinear partial differential equations (PDEs) of interest such as the Kaup–Kupershmidt, the generalized shallow water, the Boussinesq equations via the improved Exp– function method. Also the method is used to construct periodic and solitary wave solutions for the considered equations as well.
Keywords:
- Boussinesq approximation (water waves)
- Stochastic partial differential equation
- Method of characteristics
- Simultaneous equations
- Separable partial differential equation
- Mathematical optimization
- Multigrid method
- Mathematical analysis
- Mathematics
- Numerical partial differential equations
- Nonlinear system
- Collocation method
- Correction
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