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首页> 外文期刊>American Journal of Mathematical and Computer Modelling >Analytical Solutions of Nonlinear Coupled Schrodinger-KdV Equation via Advance Exponential Expansion
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Analytical Solutions of Nonlinear Coupled Schrodinger-KdV Equation via Advance Exponential Expansion

机译:非线性指数耦合的薛定inger-KdV方程的超指数展开式解析解

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摘要

This research work is to represent an advance exp(-Φ(ξ))-expansion method with nonlinear ordinary differential equation for constructing interacting analytical solutions of nonlinear coupled physical models arising in science and engineering. It is capable of determining all branches of interacting analytical solutions simultaneously and this difficult to discriminate with numerical technique. To verify its computational potentiality, the coupled Schrodinger-KdV equation is considered. The obtained solutions in this work reveal that the method is a very effective and easily applicable of formulating the scattered exact traveling wave solutions of many nonlinear coupled wave equations. It is investigated the scattered wave solutions may be useful in understanding the behavior of physical structures in any varied instances, where the coupled Schrodinger-KdV equation is occurred.
机译:这项研究工作是用非线性常微分方程表示一种先进的exp(-Φ(ξ))-展开方法,用于构造科学和工程学中出现的非线性耦合物理模型的相互作用解析解。它能够同时确定相互作用的分析解决方案的所有分支,这很难用数值技术加以区分。为了验证其计算潜力,考虑了耦合的Schrodinger-KdV方程。在这项工作中获得的解决方案表明,该方法是一种非常有效且易于应用的公式,它可用于制定许多非线性耦合波动方程的离散精确行波解。研究了散射波解可能有助于理解发生Schrodinger-KdV方程的任何变化情况下物理结构的行为。

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