New generalized method to construct new non-travelling wave solutions and travelling wave solutions of K-D equations
2008
With the aid of computerized symbolic computation, we obtain new types of general solution of a first-order nonlinear ordinary differential equation with six degrees of freedom and devise a new generalized method and its algorithm, which can be used to construct more new exact solutions of general nonlinear differential equations. The (2+1)-dimensional K-D equation is chosen to illustrate our algorithm such that more families of new exact solutions are obtained, which contain non-travelling wave solutions and travelling wave solutions.
Keywords:
- Nonlinear partial differential equation
- Exact solutions in general relativity
- Mathematical optimization
- Degrees of freedom (statistics)
- Differential equation
- Ordinary differential equation
- Mathematical analysis
- Six degrees of freedom
- Symbolic computation
- Mathematics
- Nonlinear system
- nonlinear differential equations
- traveling wave
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