Computing exact solutions to a generalized Lax seventh-order forced KdV equation (KdV7)

Salas A.H.

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Computing exact solutions to a generalized Lax seventh-order forced KdV equation (KdV7)

机译：计算广义Lax七阶强制KdV方程（KdV7）的精确解

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摘要

In this paper, the Cole-Hopf transform is used to construct exact solutions to a generalization of both the seventh-order Lax KdV equation (Lax KdV7) and the seventh-order Sawada-Kotera-Ito KdV equation (Sawada-Kotera-Ito KdV7) with forcing term.

机译：在本文中，使用Cole-Hopf变换来构造精确解，以同时推广七阶Lax KdV方程（Lax KdV7）和七阶Sawada-Kotera-Ito KdV方程（Sawada-Kotera-Ito KdV7））和强迫词。

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《Applied mathematics and computation》 |2010年第8期|共6页
作者
Salas A.H.;
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正文语种 eng
中图分类数值分析;
关键词
Cole-Hopf transform; Forcing term; Lax KdV equation (Lax KdV7) seventh-order Sawada-Kotera-Ito (Sawada-Kotera-Ito KdV7) equation; Nonlinear evolution equation; Nonlinear ode; Nonlinear PDE; Seventh-order KdV equation (KdV7);

机译：Cole-Hopf变换强迫项Lax KdV方程（Lax KdV7）七阶Sawada-Kotera-Ito（Sawada-Kotera-Ito KdV7）方程非线性演化方程非线性ode非线性PDE七阶KdV方程（KdV7））;

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专利

1. Computing exact solutions to a generalized Lax seventh-order forced KdV equation (KdV7) [J] . Salas A.H. Applied mathematics and computation . 2010,第8期

机译：计算广义Lax七阶强制KdV方程（KdV7）的精确解
2. Computing Exact Solutions to a Generalized Lax-Sawada-Kotera-Ito Seventh-Order KdV Equation [J] . Alvaro H. Salas, Cesar A. Gomez S, Bernardo Acevedo Frias Mathematical Problems in Engineering . 2010,第PTa2期

机译：计算广义Lax-Sawada-Kotera-Ito七阶KdV方程的精确解
3. Computing Exact Solutions to a Generalized Lax-Sawada-Kotera-Ito Seventh-Order KdV Equation [J] . Alvaro H.Salas, Cesar A.Gómez S, BernardoAcevedo Frias Mathematical Problems in Engineering: Theory, Methods and Applications . 2010,第2期

机译：计算广义Lax-Sawada-Kotera-Ito七阶KdV方程的精确解
4. Explicit Exact Solutions and Conservation Laws of Generalized Seventh-Order KdV Equation with Time-Dependent Coefficients [C] . Bikramjeet Kaur, R. K. Gupta International Conference on Trends in Computational and Cognitive Engineering . 2020

机译：具有时间依赖系数的明确精确解决方案和广义第七次KDV方程的保护规律
5. Resonant solutions of the periodically forced KdV equation. [D] . Blenkinsop, Mark. 2006

机译：周期强迫KdV方程的共振解。
6. Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation [O] . Md Hamidul Islam, Kamruzzaman Khan, M Ali Akbar, -1

机译：修正的KdV–Zakharov–Kuznetsov方程和粘性Burgers方程的精确行波解
7. Computing Exact Solutions to a Generalized Lax-Sawada-Kotera-Ito Seventh-Order KdV Equation [O] . Alvaro H. Salas, Cesar A. Gómez S, Bernardo Acevedo Frias 2010

机译：将完全解决方案的精确解决方案计算到普通的LAX-Sawada-Kotera-ITO第七级KDV方程

Computing exact solutions to a generalized Lax seventh-order forced KdV equation (KdV7)

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