A further improved extended Fan sub-equation method for \((2+1)\)-dimensional breaking soliton equations. (English) Zbl 1187.35201
Summary: A further improved extended Fan sub-equation method is used to construct exact solutions of the \((2+1)\)-dimensional breaking soliton equations. As a result, many new and more general non-travelling wave and coefficient function solutions are obtained including soliton-like solutions, triangular-like solutions, single and combined non-degenerate Jacobi elliptic wave function-like solutions, Weierstrass elliptic doubly-like periodic solutions, each of which contains an arbitrary function of two variables. The results show that the proposed method give new and more general exact solutions. Moreover, with the aid of symbolic computations the method provides a very effective and powerful mathematical tool for solving a great many non-linear partial differential equations of mathematical physics.
MSC:
| 35Q51 | Soliton equations |
| 35A20 | Analyticity in context of PDEs |
| 35-04 | Software, source code, etc. for problems pertaining to partial differential equations |
Keywords:
fan sub-equation method; symbolic computation; soliton-like solutions; triangular-like solutions; Jacobi elliptic wave function-like solutions; Weierstrass elliptic doubly-like periodic solutionsSoftware:
MathematicaReferences:
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