A new integrable ()-dimensional KdV-like model with its multiple-soliton solutions

Wazwaz Abdul-Majid; El-Tantawy S. A.

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A new integrable ()-dimensional KdV-like model with its multiple-soliton solutions

机译：一种新的可积分（）维KdV类模型及其多孤子解决方案

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摘要

A new integrable ()-dimensional KdV-like model is constructed and investigated. Multiple-soliton solutions are derived by means of the simplified Hirota's method. The Painlev, integrability of the new model is confirmed by using the MAPLE package WKPtest.

机译：构造并研究了一种新的可积分（）维KdV类模型。借助简化的Hirota方法得出多孤子解。通过使用MAPLE软件包WKPtest可以确认新模型的Painlev可集成性。

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来源
《Nonlinear dynamics》 |2016年第3期|共6页
作者
Wazwaz Abdul-Majid; El-Tantawy S. A.;
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正文语种 eng
中图分类动力学;
关键词
KdV-like equation of (3+1) dimensions; Painleve test; Multiple-soliton solutions;

机译：（3 + 1）维KdV型方程;Painleve检验;多孤子解;

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专利

1. A new integrable ()-dimensional KdV-like model with its multiple-soliton solutions [J] . Wazwaz Abdul-Majid, El-Tantawy S. A. Nonlinear dynamics . 2016,第3期

机译：一种新的可积分（）维KdV类模型及其多孤子解决方案
2. Four (2+1)-dimensional integrable extensions of the KdV equation: Multiple-soliton and multiple singular soliton solutions [J] . Wazwaz AM Applied mathematics and computation . 2009,第4期

机译：KdV方程的四（2 + 1）维可积扩展：多孤子和多奇异孤子解
3. A Liouville integrable hierarchy, symmetry constraint, new finite-dimensional integrable systems, involutive solution and expanding integrable models [J] . Sun YP, Chen DY Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2006,第4期

机译：Liouville可积层次，对称约束，新的有限维可积系统，对合解和可扩展模型
4. Three higher-dimensional Virasoro integrable models: multiple soliton solutions [C] . Abdul-Majid Wazwaz International Workshop on Nonlinear and Modern Mathematical Physics . 2013

机译：三维Virasoro可积模型：多个孤子解决方案
5. Compact physical models for power supply noise and chip/package co-design in gigascale integration (GSI) and three-dimensional integration systems. [D] . Huang, Gang. 2008

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6. Determination of the Three-dimensional Structure of Gynoside A in Solution using NMR and Molecular Modeling [O] . Qian Li, Zhi-Hong Yao, Yan-Hong Shi, 2007

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7. The higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions [O] . Kevrekidis, PG 2011

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8. Method of solving conformal models in D-dimensional space 3: Secondary fields in D > 2 and the solution of two dimensional models [R] . Fradkin, E. S. , Palchik, M. 1996

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A new integrable ()-dimensional KdV-like model with its multiple-soliton solutions

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