Classification, reduction, group invariant solutions and conservation laws of the Gardner-KP equation

Xu B; Liu XQ

首页> 外文期刊>Applied mathematics and computation >Classification, reduction, group invariant solutions and conservation laws of the Gardner-KP equation

【24h】

Classification, reduction, group invariant solutions and conservation laws of the Gardner-KP equation

机译：Gardner-KP方程的分类，归约，组不变解和守恒律

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, symmetries and group invariant solutions to the Gardner-KP equation are obtained by using the direct symmetry method. At the same time, we find the corresponding Lie algebra, optimal system, classification and the similarity reductions to the equation, respectively. Our exact solutions generalize the corresponding results obtained by Wazwaz. In addition, the conservation laws of Gardner-KP equation are also given.

机译：本文采用直接对称方法获得了Gardner-KP方程的对称性和群不变解。同时，我们分别找到了相应的李代数，最优系统，分类和该方程的相似度约简。我们的确切解决方案概括了Wazwaz获得的相应结果。另外，给出了Gardner-KP方程的守恒律。

著录项

来源
《Applied mathematics and computation》 |2009年第3期|共7页
作者
Xu B; Liu XQ;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数值分析;
关键词
Gardner-KP equation; Direct symmetry method; Optimal system; Lie group; Conservation laws;

机译：Gardner-KP方程;直接对称法;最优系统;Lie群;守恒律;

相似文献

外文文献
中文文献
专利

1. Classification, reduction, group invariant solutions and conservation laws of the Gardner-KP equation [J] . Xu B, Liu XQ Applied mathematics and computation . 2009,第3期

机译：Gardner-KP方程的分类，归约，组不变解和守恒律
2. Lie Algebra Classification, Conservation Laws, and Invariant Solutions for a Generalization of the Levinson–Smith Equation [J] . G. Loaiza, Y. Acevedo, O.M.L. Duque, Differential equations and nonlinear mechanics . 2021,第a期

机译：Lie代数分类，保护法和Levinson-Smith方程的概括的不变解决方案
3. Invariant subspaces, exact solutions and classification of conservation laws for a coupled (1+1)-dimensional nonlinear Wu-Zhang equation [J] . Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2020,第3期

机译：耦合（1 + 1） - 二维非线性吴章方程的不变子空间，精确解决方案和保护法分类
4. On the Nonlocal Symmetries, Group Invariant Solutions and Conservation Laws of the Equations of Nonlinear Dynamical Compressible Elasticity [C] . G. W. Bluman, A. R. Cheviakov, J. F. Ganghoffer IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics . 2009

机译：在非局部对称，组不变解和非线性动力学可压缩弹性方程的局部解决方案和保护规律
5. Numerical solutions of matrix equations arising in model reduction of large-scale linear -time -invariant systems. [D] . Nong, Hung Dinh. 2009

机译：大型线性时不变系统模型简化中产生的矩阵方程的数值解。
6. INVARIANT IMBEDDING CONSERVATION RELATIONS AND NONLINEAR EQUATIONS WITH TWO-POINT BOUNDARY VALUES [O] . Richard Bellman, Robert Kalaba, G. Milton Wing 1960

机译：具有两点边界值的不变嵌入守恒关系和非线性方程
7. Invariant Solutions, Double Reductions and Conservation Laws for Certain Evolution Equations [O] . Al-Dweik Ahmad Yousef 2010

机译：某些发展方程的不变解，双重约简和守恒定律
8. Nonlinear (Time Domain) and Linearized (Time and Frequency Domain) Solutions tothe Compressible Euler Equations in Conservation Law Form [R] . Eenivas, K., Whitfield, D. L. 1995

机译：保守定律形式中可压缩欧拉方程的非线性（时域）和线性化（时域和频域）解

Classification, reduction, group invariant solutions and conservation laws of the Gardner-KP equation

摘要

著录项

相似文献

相关主题

期刊订阅