Generalized tanh Method and Four Families of Soliton-Like Solutions for a Generalized Shallow Water Wave Equation

Bo Tian; Yi-Tian Gao

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Generalized tanh Method and Four Families of Soliton-Like Solutions for a Generalized Shallow Water Wave Equation

机译：广义浅水波方程的广义tanh方法和类孤子解的四个族

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摘要

We report that a generalized tanh method with symbolic computation leads to 4 families of soliton-like solutions for the Jimbo-Miwa's (3 + 1)-dimensional generalized shallow water wave equation.

机译：我们报告说，具有符号计算的广义tanh方法导致Jimbo-Miwa（3 + 1）维广义浅水波方程的4类类孤子解。

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来源
《Zeitschrift fur Naturforschung. A, A journal of physical sciences 》 |1996年第3期| p.171-174| 共4页
作者
Bo Tian; Yi-Tian Gao;
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作者单位

Dept. of Computer Sciences, and Inst. for Sci. & Eng. Computations, Lanzhou University, Lanzhou 730000, China;

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原文格式 PDF
正文语种 eng
中图分类物理学 ;
关键词
mathematical methods in physics; generalized tanh method; 3 + 1)-dimensional generalized shallow water wave equation; symbolic computation; soliton-like solutions;

机译：物理数学方法;广义tanh法;3 + 1）维广义浅水波方程;符号计算;类孤子解;

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机译：广义浅水波（GSWW）方程的孤波解，采用Hirota方法，tanh-coth方法和Exp-函数方法
2. Extension of generalized tanh method and soliton-like solutions for a set of nonlinear evolution equations [J] . Tian B, Gao YT Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 1997 ,第10期

机译：一整套非线性发展方程的广义tanh方法的扩展和类孤子解
3. Generalized extended tanh-function method to construct new explicit exact solutions for the approximate equations for long water waves [J] . Chen Y., Yu Z. International Journal of Modern Physics, C. Physics and Computers . 2003 ,第5期

机译：广义扩展tanh函数法构造长水波近似方程的新显式精确解
4. A generalized reconstruction technique for the approximate solution of discontinuous bed Shallow-water Equations [C] . L. Cozzolino, R. Della Morte, D. Pianese IAHR Congress . 2011

机译：不连续床浅水方程近似解的广义重建技术
5. Numerical realization of the generalized Carrier-Greenspan transform for the shallow water wave equations. [D] . Harris, Matthew W. 2015

机译：浅水波方程广义Carrier-Greenspan变换的数值实现。
6. Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations [O] . A. R. Seadawy, K. El-Rashidy -1

机译：耦合系统Zakharov-Kuznetsov的水波解和广义耦合KdV方程
7. Extending the generalized tanh method to the generalized Hamiltonian equations: New soliton-like solutions [O] . Tian Bo, Gao Yi-Tian 1997

机译：将广义tanh方法扩展到广义哈密顿方程：新的类孤子解

Generalized tanh Method and Four Families of Soliton-Like Solutions for a Generalized Shallow Water Wave Equation

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