DOUBLE REDUCTION OF THE GENERALIZED ZAKHAROV EQUATIONS VIA CONSERVATION LAWS

被引：0

作者：

Buhe, Eerdun ^{[1
,2
]}

Fakhar, K. ^{[2
]}

Wang, Gangwei ^{[2
,3
]}

Chaolu, Temuer ^{[4
]}

机构：

[1] Hohhot Univ Nationalities, Dept Math, Hohhot 010051, Peoples R China

[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[3] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China

[4] Shanghai Maritime Univ, Coll Art & Sci, Shanghai 200135, Peoples R China

来源：

ROMANIAN REPORTS IN PHYSICS | 2015年 / 67卷 / 02期

关键词：

Generalized Zakharov equations; Lie symmetries; Conservation laws; Double reductions; Travelling wave solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; WAVE SOLUTIONS; SOLITONS; SYMMETRIES; DYNAMICS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the generalized Zakharov equations with perspective different from those done previously, namely, by determining its symmetry generators, constructing some conservation laws and then use the associations between these to attain a double reduction of the corresponding differential equations leading to two travelling wave solutions.

引用

页码：329 / 339

页数：11

共 50 条

[41] Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation
Singh, Manjit
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (01): : 300 - 312
[42] A priori estimates in hyperbolic systems of conservation laws via generalized characteristics
Trivisa, K
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1997, 22 (1-2) : 235 - 267
[43] A generalized method of characteristics in the theory of Hamilton-Jacobi equations and conservation laws
Kolpakova, E. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2010, 16 (05): : 95 - 102
[44] Double reduction of PDEs from the association of symmetries with conservation laws with applications
Sjoberg, A.
APPLIED MATHEMATICS AND COMPUTATION, 2007, 184 (02) : 608 - 616
[45] On conservation laws for hyperbolized equations
M. D. Surnachev
V. F. Tishkin
B. N. Chetverushkin
Differential Equations, 2016, 52 : 817 - 823
[46] On conservation laws for hyperbolized equations
Surnachev, M. D.
Tishkin, V. F.
Chetverushkin, B. N.
DIFFERENTIAL EQUATIONS, 2016, 52 (07) : 817 - 823
[47] On conservation laws for the Toda equations
Kiselev, AV
ACTA APPLICANDAE MATHEMATICAE, 2004, 83 (1-2) : 175 - 182
[48] On Conservation Laws for the Toda Equations
Arthemy V. Kiselev
Acta Applicandae Mathematica, 2004, 83 : 175 - 182
[49] NUMERICAL SCHEMES FOR CONSERVATION LAWS VIA HAMILTON-JACOBI EQUATIONS
CORRIAS, L
FALCONE, M
NATALINI, R
MATHEMATICS OF COMPUTATION, 1995, 64 (210) : 555 - 580
[50] Numerical schemes for conservation laws via Hamilton-Jacobi equations
Math Comput, 210 (555):

← 1 2 3 4 5 →