NON-NOETHER SYMMETRIES OF THE MODIFIED BOUSSINESQ EQUATIONS

G. Chavchanidze

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NON-NOETHER SYMMETRIES OF THE MODIFIED BOUSSINESQ EQUATIONS

机译：修正的布森斯方程的非诺特对称性

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摘要

We investigate a one-parameter non-Noether symmetry group of the modified Boussinesq equations and show that this symmetry naturally yields an infinite sequence of conservation laws.

机译：我们研究了经过修改的Boussinesq方程的一参数非Noether对称性组，并证明了这种对称性自然产生了无限的守恒律序列。

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来源
《Journal of Mathematical Sciences》 |2009年第6期|693-696|共4页
作者
G. Chavchanidze;
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Department of Theoretical Physics, A. Razmadze Institute of Mathematics, Tbilisi, Georgia;

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正文语种 eng
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专利

1. Symmetry Reductions, Integrability and solitary Wave Solutions to High-Order Modified boussinesq Equations with Damping Term [J] . Yan zhen-Ya, Xie Fu-Ding, zhang Hong-Qing Communications in Theoretical Physics . 2001,第1期

机译：具有阻尼项的高阶修正boussinesq方程的对称约化，可积性和孤波解
2. Symmetry Reductions, Integrability and Solitary Wave Solutions to High-Order Modified Boussinesq Equations with Damping Term [J] . YAN ZhenYa, XIE FuDing, ZHANG HongQing 理论物理通讯（英文版） . 2001,第007期

机译：具有阻尼项的高阶修正Boussinesq方程的对称约化，可积性和孤波解
3. Lie symmetries and non-Noether conserved quantities for Hamiltonian canonical equations [J] . Fu JL, Chen LQ, Xie FP Chinese physics . 2004,第10期

机译：哈密顿正则方程的李对称性和非Noether守恒量
4. A Modified Method and Its Implementation of Constructing Symmetries and Symmetry Reductions for Nonlinear Partial Differential Equations [C] . Yu Zhuye, Yao Ruoxia 2011 Third Pacific-Asia Conference on Circuits,Communications and System . 2011

机译：非线性偏微分方程的构造对称与对称约化的一种改进方法及其实现。
5. Global dynamics of dissipative generalized KdV equations and Boussinesq equations [D] . Cao, Jun 1994

机译：耗散广义KdV方程和Boussinesq方程的整体动力学
6. A Unique Finite Element Modeling of the Periodic Wave Transformation over Sloping and Barred Beaches by Beji and Nadaokas Extended Boussinesq Equations [O] . Mohammad Hadi Jabbari, Parviz Ghadimi, Mesbah Sayehbani, 2013

机译：Beji和Nadaoka的扩展Boussinesq方程对倾斜和禁止海滩上的周期波变换的独特有限元建模
7. On the exact solutions of a modified Kortweg de Vries type equation and higher-order modified Boussinesq equation with damping term [O] . Dimpho Mothibi, Chaudry Khalique 2013

机译：关于带阻尼项的修正的Kortweg de Vries型方程和高阶修正的Boussinesq方程的精确解
8. Modified Boussinesq Equations and Associated Parabolic Models for Water WavePropagation [R] . Chen, Y., Liu, P. L. 1995

机译：水波传播的改进Boussinesq方程和相关抛物型模型

NON-NOETHER SYMMETRIES OF THE MODIFIED BOUSSINESQ EQUATIONS

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