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引用次数: 0
摘要
本文导出了等价于修正Korteweg- de Vries-方程的Fujimoto-Watanable-方程(FWE)的精确解的新变种。在Ricatti-Bernolli Sub-ODE方法(RBSODM)的框架下建立了这些以前任何其他技术都无法实现的新型解。并利用著名的数值变分迭代法(VIM)构造了由精确解产生初值条件的同数值解。
NEW VARIETY TYPES OF SOLUTION TO THE FUJIMOTO-WATANABLE EQUATION WITH THE CORRESPONDING NUMERICAL SOLUTIONS
In this article, new variety types of exact solution to the Fujimoto-Watanable- equation (FWE) that equivalent to the modified Korteweg- de Vries- equation have been derived. These new types of solutions which weren’t realized before by any other technique have been established in the framework of the Ricatti-Bernolli Sub-ODE method (RBSODM). Also, the identical numerical solutions whose initial conditions are emerged from the achieved exact solutions have been constructed by using the famous numerical variational iteration method (VIM).
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