VARIATIONAL APPROACHES TO CONSERVATION LAWS FOR A NONLINEAR EVOLUTION EQUATION WITH TIME DEPENDENT COEFFICIENTS

被引：5
作者：
Johnpillai, A. G. [1 ]
Khalique, C. M. [1 ]
机构：
[1] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, ZA-2735 Mmabatho, South Africa
来源：
QUAESTIONES MATHEMATICAE | 2011年 / 34卷 / 02期
关键词：
Modified KdV equation; Lie point symmetries; adjoint equation; partial Lagrangian; partial Noether operators; conservation laws; PARTIAL-DIFFERENTIAL-EQUATIONS; DIRECT CONSTRUCTION METHOD; SYMMETRIES;
D O I：
10.2989/16073606.2011.594238
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The conservation laws of a nonlinear evolution equation of time dependent variable coefficients of damping and dispersion is studied. The equation under consideration is not derivable from a variational principle which means that one cannot appeal to the Noether theorem to determine the conservation laws. We utilize the new conservation theorem (N.H. Ibragimov, [8]) and the partial Lagrangian approach (A.H. Kara, F.M. Mahomed, [13]) to construct local, and infinite number of nonlocal conservation laws (due to the transformation of the dependent variable) of the underlying equation.
引用
收藏
页码：235 / 245
页数：11
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