EXTENDED TRIAL EQUATION METHOD AND APPLICATIONS TO SOME NONLINEAR PROBLEMS
EXTENDED TRIAL EQUATION METHOD AND APPLICATIONS TO SOME NONLINEAR PROBLEMS
In this paper, we introduce the extended trial equation method for solving non-integrable partial differential equations in mathematical physics. Some exact solutions including soliton solutions, rational, elliptic integral function, Jacobi elliptic function solutions to the (N+1)-dimensional sine-cosine-Gordon equation and the KdV equation with dual power law nonlinearity are obtained by this method. Also, a more general version. of the extended trial equation method is proposed.
The research has been supported by the Yozgat University Foundation.
Yozgat University FoundationBozok University
WOS: 000337996600001
- Ege University Turkey
KdV equation, Extended trial equation method, elliptic integral function solutions, sine-cosine-Gordon equation, Sine-cosine-Gordon equation, Elliptic integral function solutions
KdV equation, Extended trial equation method, elliptic integral function solutions, sine-cosine-Gordon equation, Sine-cosine-Gordon equation, Elliptic integral function solutions
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