Reductions and exact solutions of the (2+1)-dimensional breaking soliton equation via conservation laws

Muatjetjeja Ben; Porogo Ofentse P.

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Reductions and exact solutions of the (2+1)-dimensional breaking soliton equation via conservation laws

机译：通过保护法减少（2 + 1） - 二维孤子方程的减少和精确解

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摘要

We construct conservation laws for the (2+1)-dimensional breaking soliton equation. Thereafter, we employ the definition of the association of symmetries with conservation laws to obtain exact solutions for the (2+1)-dimensional breaking soliton equation via the generalized double reduction theorem.

机译：我们构建（2 + 1） - 二维破碎孤子方程的保护规律。此后，我们采用对称性协会的定义与保护规律，通过广义双重减少定理获得（2 + 1） - 二维破碎孤子方程的精确解决方案。

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来源
《Nonlinear dynamics》 |2017年第1期|共9页
作者
Muatjetjeja Ben; Porogo Ofentse P.;
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作者单位

North West Univ Dept Math Sci Mafikeng Campus Private Bag X 2046 Mmabatho 2735 South Korea;

North West Univ Dept Math Sci Mafikeng Campus Private Bag X 2046 Mmabatho 2735 South Korea;

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原文格式 PDF
正文语种 eng
中图分类动力学;
关键词
Lagrangian; Noether operators; Conservation laws; Generalized double reduction; Exact solutions;

机译：拉格朗日;Noether运营商;保护法;广义双重减少;精确的解决方案;

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1. Reductions and exact solutions of the (2+1)-dimensional breaking soliton equation via conservation laws [J] . Muatjetjeja Ben, Porogo Ofentse P. Nonlinear dynamics . 2017,第1期

机译：通过保护法减少（2 + 1） - 二维孤子方程的减少和精确解
2. Lie symmetry analysis, symmetry reductions with exact solutions, and conservation laws of (2+1)-dimensional Bogoyavlenskii-Schieff equation of higher order in plasma physics [J] . Mathematical Methods in the Applied Sciences . 2020,第9期

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3. Symmetry Reduction, Exact Solutions, and Conservation Laws of (2+1)-Dimensional Burgers Korteweg-de Vries Equation [J] . DONG Zhong-Zhou, LIU Xi-Qiang, BAI Cheng-Lin Communications in Theoretical Physics . 2006,第1期

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4. Exact Traveling Wave Solution For The (2+1) Dimensional Breaking Soliton Equation [C] . Qinghua Feng, Bin Zheng Recent advances in applied mathematics . 2010

机译：（2 + 1）维破裂孤子方程的精确行波解
5. Solutions of multidimensional hyperbolic systems of conservation laws by discontinuous Galerkin methods and a derivation of the Moore-Greitzer equation using homogenization. [D] . Hou, Songming. 2002

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6. Analytical multi-soliton solutions of a (2+1)-dimensional breaking soliton equation [O] . Shao-fu Wang -1

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7. Soliton equations in N-dimensions as exact reductions of the Self-Dual Yang-Mills equation V. Simplest (2+1)-dimensional soliton equations [O] . Myrzakul, Kur. R., Myrzakulov, R. 2000

机译：N维中的孤子方程作为自对偶的精确减少 Yang-mills方程V.最简单（2 + 1）维孤子方程

Reductions and exact solutions of the (2+1)-dimensional breaking soliton equation via conservation laws

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