New Two-soliton and Periodic Solutions to KdV Equation

Zhengde Dai; Jun Liu; Gui Mu; Chuanjian Wang

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New Two-soliton and Periodic Solutions to KdV Equation

机译：KdV方程的新的两个孤子和周期解

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摘要

The most elementary ansatz of the double Exp-function method for finding exact double-wave solutions can be produced by an extension of two-soliton ansatz in a fractional form. Applying this ansatz to KdV equation, new abundant two-soliton solutions and doubly periodic solutions are obtained.

机译：用于查找精确双波解的double Exp函数方法中最基本的ansatz可以通过扩展分数形式的两个孤子ansatz来产生。将此ansattz应用于KdV方程，可以获得新的丰富的两孤子解和双周期解。

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来源
《International journal of nonlinear sciences and numerical simulation》 |2010年第4期|共6页
作者
Zhengde Dai; Jun Liu; Gui Mu; Chuanjian Wang;
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正文语种 eng
中图分类数值分析;
关键词
Exact solution; Double-exp function; Two-soliton; Double period; KdV equation;

机译：精确解;双exp函数;双孤子;双周期;KdV方程;

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专利

1. New Two-soliton and Periodic Solutions to KdV Equation [J] . Zhengde Dai, Jun Liu, Gui Mu, International journal of nonlinear sciences and numerical simulation . 2010,第4期

机译：KdV方程的新的两个孤子和周期解
2. One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem [J] . Fokou M., Kofane T. C., Mohamadou A., Nonlinear dynamics . 2016,第4期

机译：具有水波问题的非线性和非局部项的新KdV演化方程的一孤子和二孤子解
3. New Solitary Wave And Periodic Wave Solutions For General Types Of Kdv And Kdv-burgers Equations [J] . Dianchen Lu, Baojian Hong, Lixin Tian Communications in Nonlinear Science and Numerical Simulation . 2009,第1期

机译：一般类型Kdv和Kdv-burgers方程的新孤波和周期波解
4. WAVELET-BASED SOLUTION TO TIME-DEPENDENT HIGHER ORDER NON-LINEAR TWO-POINT INITIAL BOUNDARY VALUE PROBLEMS WITH NON-PERIODIC BOUNDARY CONDITIONS ― KDV, BOUSSINESQ EQUATIONS [C] . H. N. Narang, Rajiv K. Nekkanti Fluids Engineering Conference . 2003

机译：具有时间周期的高阶非线性两点初始边界值问题的非小波解— KDV，BOUSSINESQ方程
5. A study on the solutions of Kawahara, and complex-valued Burgers and KdV-Burgers equations [D] . Khanal, Netra Prakash 2009

机译：关于川原，复值Burgers和KdV-Burgers方程的解的研究
6. A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven [O] . Sidra Saleem, Malik Zawwar Hussain, Imran Aziz 2021

机译：一种可靠的算法用于计算七个顺序七分局部微分方程的近似解
7. Orbital stability of periodic traveling wave solutions to the coupled compound KdV and MKdV equations with two components [O] . Xiaoxiao Zheng, Hui Wu 2020

机译：具有两个组分的耦合复合KDV和MKDV方程的周期性行驶波解的轨道稳定性

New Two-soliton and Periodic Solutions to KdV Equation

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