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

作者：Shi, Rui; Song, Zhijie; Feng, Tao; Wang, Gangwei^*; Wang, Xin

来源：Nonlinear Dynamics, 2017, 88(1): 255-262.

DOI：10.1007/s11071-016-3241-z

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

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.

• 出版日期2017-4
• 单位燕山大学; 北京理工大学