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Soliton solutions for (2+1)-dimensional Breaking Soliton Equation: Three Wave Method

机译:(2 + 1)维破裂孤子方程的孤子解:三波方法

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By means of the three-wave method one can solve some nonlinear partial differential equations (NLPDEs) in their bilinear forms. When an NLPDE has no bilinear closed form we can not use this method. We modify the idea of three-wave method to obtain some analytic solutions for the (2+1)-dimensional Breaking soliton equation by obtaining a bilinear closed form for it. By comparison of this method and other analytic methods, like HAM, HTA and EHTA, we can see that the new idea is very easy and straightforward.
机译:通过三波方法,人们可以将某些非线性偏微分方程(NLPDE)求解为双线性形式。当NLPDE没有双线性闭合形式时,我们不能使用此方法。我们修改了三波方法的思想,通过获得双线性封闭形式来求解(2 + 1)维Breaking孤子方程的解析解。通过将该方法与其他分析方法(例如HAM,HTA和EHTA)进行比较,我们可以看到新想法非常容易和直接。

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