New (2+1)-dimensional Sine-Gordon equation with self-consistent sources derived by the nonlinear variable separation method

作者：Shen Shoufeng^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2009, 14(11): 3750-3753.

DOI：10.1016/j.cnsns.2009.03.012

• Sine-Gordon equation
• Variable separation
• Self-consistent source
• Exact solution

By using the Hirota's bilinear transformation method and direct variable separation assumption, a new (2 + 1)-dimensional Sine-Gordon equation with self-consistent sources is derived for the first time. Correspondingly, a nonlinear variable separation solution included two lower-dimensional arbitrary functions is obtained.

• 出版日期2009-11
• 单位西北大学; 浙江工业大学