Department of Mathematics, Yuxi Normal University, Yuxi 653100, China.
Chaos. 2013 Sep;23(3):033115. doi: 10.1063/1.4816346.
This paper studies the Klein-Gordon Zakharov equation with power law nonlinearity in (1+2)-dimensions. The ansatz method will be applied to obtain the 1-soliton solution, also known as domain wall solution, along with several constraint conditions that naturally fall out. Subsequently, the bifurcation analysis is carried out where the phase portrait is given. Additionally, this analysis leads to several solutions to the equation with the traveling wave scheme. This gives soliton solution as well as singular periodic solutions. Finally, the numerical simulations for the domain wall solution were obtained where the finite difference scheme is applied.
本文研究了（1+2）-维中具有幂律非线性的 Klein-Gordon Zakharov 方程。将采用变分法获得 1-孤子解，也称为畴壁解，以及自然得出的几个约束条件。随后，进行了分支分析，给出了相图。此外，这种分析还给出了具有行波方案的方程的几个解。这给出了孤子解以及奇异周期解。最后，通过应用有限差分法获得了畴壁解的数值模拟。
