A multiple exp-function method for nonlinear differential equations and its application
A multiple exp-function method for nonlinear differential equations and its application
复制标题
非线性微分方程的多重指数函数法及其应用
DOI：
10.1088/0031-8949/82/06/065003
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发表时间：
2010-12-01
期刊：
影响因子：
2.9
通讯作者：
Zhang, Yi
中科院分区：
文献类型：
--
作者：
Ma, Wen-Xiu;Huang, Tingwen;Zhang, Yi
提出了一种求解非线性偏微分方程精确多重波解的多重指数函数方法。该方法是面向易用性和计算机代数系统的能力，并提供了一个直接和系统的解决方案的过程，概括广田的扰动计划。在Maple软件的帮助下，将该方法应用于（3+1）维位势Yu-Toda-Sasa-Fukuyama方程，得到了精确的显式单波、双波和三波解，其中包括单孤子、双孤子和三孤子型解.两种情况下，所涉及的参数的具体值绘制的两波和三波的解决方案。
A multiple exp-function method for exact multiple wave solutions of nonlinear partial differential equations is proposed. The method is oriented towards the ease of use and capability of computer algebra systems and provides a direct and systematic solution procedure that generalizes Hirota's perturbation scheme. With the help of Maple, applying the approach to the (3+1)-dimensional potential-Yu–Toda–Sasa–Fukuyama equation yields exact explicit one-wave, two-wave and three-wave solutions, which include one-soliton, two-soliton and three-soliton type solutions. Two cases with specific values of the involved parameters are plotted for each of the two-wave and three-wave solutions.