4.7 Article

Analytical soliton solutions of the (2+1)-dimensional sine-Gordon equation

Journal

NONLINEAR DYNAMICS
Volume 88, Issue 1, Pages 255-262

Publisher

SPRINGER
DOI: 10.1007/s11071-016-3241-z

Keywords

New (2+1)-dimensional sine-Gordon equation; Sub-ODE method; The ansatz approach; Topological 1-soliton solution; Travelling wave solution

Funding

  1. National Natural Science Foundation of China [71171175]

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In this letter, we investigated a new (2+1)-dimensional sine-Gordon equation. By the subsidiary ordinary differential equation method, some new explicit solutions are given. These solutions include hyperbolic function solutions and trigonometric function solutions amongst others. In particular, a topological 1-soliton solution is derived.

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