New exact kink solutions, solitons and periodic form solutions for a combined KdV and Schwarzian KdV equation

Li ZT

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New exact kink solutions, solitons and periodic form solutions for a combined KdV and Schwarzian KdV equation

机译：结合KdV和Schwarzian KdV方程的新的精确扭结解，孤子和周期形式解

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摘要

In this short letter, new exact solutions including kink solutions, soliton-like solutions and periodic form solutions for a combined version of the potential KdV equation and the Schwarzian KdV equation are obtained using the generalized Riccati equation mapping method.

机译：在这封简短的信中，使用广义Riccati方程映射方法获得了潜在KdV方程和Schwarzian KdV方程组合版本的新精确解，包括扭结解，类孤子解和周期形式解。

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来源
《Applied mathematics and computation》 |2009年第8期|共5页
作者
Li ZT;
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原文格式 PDF
正文语种 eng
中图分类数值分析;
关键词
KdV equation; Schwarzian KdV equation; Riccati mapping method; Kink; Soliton; Periodic;

机译：KdV方程;Schwarzian KdV方程;Riccati映射法;Kink;孤子;周期;

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1. Comments on "New exact kink solutions, solitons and periodic form solutions for a combined KdV and Schwarzian KdV equation" [J] . Wang CJ, Dai ZD, Lin SQ, Applied mathematics and computation . 2010,第2期

机译：评论“结合KdV和Schwarzian KdV方程的新精确扭结解，孤子和周期形式解”
2. Comments on "New exact kink solutions, solitons and periodic form solutions for a combined KdV and Schwarzian KdV equation" [J] . Wang CJ, Dai ZD, Lin SQ, Applied mathematics and computation . 2010,第2期

机译：评论“结合KdV和Schwarzian KdV方程的新精确扭结解，孤子和周期形式解”
3. New exact kink solutions, solitons and periodic form solutions for a combined KdV and Schwarzian KdV equation [J] . Li ZT Applied mathematics and computation . 2009,第8期

机译：结合KdV和Schwarzian KdV方程的新的精确扭结解，孤子和周期形式解
4. Generalized Kaup—Kupershmidt Solitons, Static Solitons andBoundary Generated Solitons — Solutions of the KdV andHigher Order KdV Equations [C] . G.I. Burde International Conference on Numerical Analysis and Applied Mathematics . 2010

机译：广义Kaup-kupershmidt孤子，静态孤子和孤立的孤子 - KDV和高阶KDV方程的解决方案
5. Quaternion-Valued Solutions to the KdV Equation: Tail Behavior and Non-Uniqueness of 1-Soliton Solutions [D] . Hilliard, Zachary Thomas. 2021

机译：kdv方程的四元值 - 值解决方案：尾部行为和1-soliton解决方案的非唯一性
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. Classification of Multiply Travelling Wave Solutions for Coupled Burgers, Combined KdV-Modified KdV, and Schrödinger-KdV Equations [O] . A. R. Seadawy, K. El-Rashidy 2015

机译：耦合汉堡，KDV改装KDV和Schrödinger-KDV方程的乘法传播波解决方案的分类

New exact kink solutions, solitons and periodic form solutions for a combined KdV and Schwarzian KdV equation

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