Local conservation laws, symmetries, and exact solutions for a Kudryashov-Sinelshchikov equation

2017 ◽  
Vol 41 (4) ◽  
pp. 1631-1641 ◽  
Author(s):  
M. S. Bruzón ◽  
E. Recio ◽  
R. de la Rosa ◽  
M. L. Gandarias
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Local Conservation

scholarly journals On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Sait San ◽  
Emrullah Yaşar
Keyword(s):  
Liquid Crystals ◽  
Conservation Laws ◽  
Exact Solutions ◽  
Nematic Liquid Crystals ◽  
Lie Point Symmetries ◽  
Local Conservation ◽  
The Relationship ◽  
Conservation Method

We study the modified Hunter-Saxton equation which arises in modelling of nematic liquid crystals. We obtain local conservation laws using the nonlocal conservation method and multiplier approach. In addition, using the relationship between conservation laws and Lie-point symmetries, some reductions and exact solutions are obtained.

Conserved Quantities for the General Linear Heat Equation

2016 ◽  
pp. 4437-4439
Author(s):  
Adil Jhangeer ◽  
Fahad Al-Mufadi
Keyword(s):  
Evolution Equation ◽  
Heat Equation ◽  
Conservation Laws ◽  
Exact Solutions ◽  
Lagrangian Approach ◽  
General Linear ◽  
Conserved Quantities ◽  
Linear Heat ◽  
The Family ◽  
Partial Lagrangian

In this paper, conserved quantities are computed for a class of evolution equation by using the partial Noether approach [2]. The partial Lagrangian approach is applied to the considered equation, infinite many conservation laws are obtained depending on the coefficients of equation for each n. These results give potential systems for the family of considered equation, which are further helpful to compute the exact solutions.

scholarly journals Numerical preservation of multiple local conservation laws

2021 ◽  
Vol 403 ◽  
pp. 126203
Author(s):  
Gianluca Frasca-Caccia ◽  
Peter E. Hydon
Keyword(s):  
Conservation Laws ◽  
Local Conservation

scholarly journals Exact Explicit Solutions and Conservation Laws for a Coupled Zakharov-Kuznetsov System

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Chaudry Masood Khalique
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Equation Method ◽  
Explicit Solutions ◽  
Simplest Equation Method ◽  
De Vries

We study a coupled Zakharov-Kuznetsov system, which is an extension of a coupled Korteweg-de Vries system in the sense of the Zakharov-Kuznetsov equation. Firstly, we obtain some exact solutions of the coupled Zakharov-Kuznetsov system using the simplest equation method. Secondly, the conservation laws for the coupled Zakharov-Kuznetsov system will be constructed by using the multiplier approach.

Exact Solutions and Conservation Laws for a Generalized Double Combined sinh–cosh–Gordon Equation

2016 ◽  
Vol 13 (5) ◽  
pp. 3221-3233 ◽  
Author(s):  
Gabriel Magalakwe ◽  
Ben Muatjetjeja ◽  
Chaudry Masood Khalique
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Gordon Equation
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