Generalised conservation laws, reductions and exact solutions of the K(m,n) equations via double reduction theory

被引：0
|
作者：
Iqbal, A. [1 ]
Naeem, I. [1 ]
机构：
[1] Lahore Univ Management Sci, Sch Sci & Engn, Dept Math, Lahore Cantt 54792, Pakistan
来源：
PRAMANA-JOURNAL OF PHYSICS | 2021年 / 95卷 / 01期
关键词：
Symmetries; generalised conservation laws; K(m; n) equations; double reduction; 02; 30; Hq; Ik; Jr; SINE-COSINE METHODS; COMPACTON EQUATIONS; SYMMETRIES; COMPUTATION; SOLITONS; TANH;
D O I：
10.1007/s12043-020-02071-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this article, we present the general form of conservation laws for the nonlinear Rosenau-Hyman compacton K(m, n) equations using multiplier's approach. General formulas for some new conservation laws are established for the K(m, n) equations. We describe three different cases where Lie symmetries are associated with these generalised conservation laws. The double reduction theory is utilised to construct some new reductions and exact solutions for different values of m and n.
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页数：9
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