Variational approaches to conservation laws for a nonlinear evolution equation with time dependent coefficients

2011 ◽  
Vol 34 (2) ◽  
pp. 235-245 ◽  
Author(s):  
A.G. Johnpillai ◽  
C.M. Khalique
Keyword(s):  
Evolution Equation ◽  
Conservation Laws ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Time Dependent ◽  
Variational Approaches

Traveling wave solutions and conservation laws of a generalized Kudryashov–Sinelshchikov equation

2019 ◽  
Vol 25 (2) ◽  
pp. 211-217 ◽  
Author(s):  
Ben Muatjetjeja ◽  
Abdullahi Rashid Adem ◽  
Sivenathi Oscar Mbusi
Keyword(s):  
Heat Transfer ◽  
Evolution Equation ◽  
Conservation Laws ◽  
Traveling Wave ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Traveling Wave Solutions ◽  
Pressure Waves ◽  
Wave Solutions ◽  
Kudryashov Method

Abstract Kudryashov and Sinelshchikov proposed a nonlinear evolution equation that models the pressure waves in a mixture of liquid and gas bubbles by taking into account the viscosity of the liquid and the heat transfer. Conservation laws and exact solutions are computed for this underlying equation. In the analysis of this particular equation, two approaches are employed, namely, the multiplier method and Kudryashov method.

scholarly journals Soliton Solutions and Conservation Laws of a (3+1)-Dimensional Nonlinear Evolution Equation

2019 ◽  
Vol 135 (3) ◽  
pp. 539-545
Author(s):  
M. Ekici ◽  
A. Sonmezoglu ◽  
A. Rashid Adem ◽  
Qin Zhou ◽  
Zitong Luan ◽  
...  
Keyword(s):  
Evolution Equation ◽  
Conservation Laws ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Soliton Solutions

scholarly journals Soliton solutions, Painleve analysis and conservation laws for a nonlinear evolution equation

2021 ◽  
Vol 23 ◽  
pp. 103999
Author(s):  
S.T.R. Rizvi ◽  
Aly R. Seadawy ◽  
Muhammad Younis ◽  
Ijaz Ali ◽  
S. Althobaiti ◽  
...  
Keyword(s):  
Evolution Equation ◽  
Conservation Laws ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Painlevé Analysis ◽  
Painleve Analysis

Lie symmetries and conservation laws for a generalized (2+1)-dimensional nonlinear evolution equation

2020 ◽  
Vol 58 (4) ◽  
pp. 775-798 ◽  
Author(s):  
S. Sáez ◽  
R. de la Rosa ◽  
E. Recio ◽  
T. M. Garrido ◽  
M. S. Bruzón
Keyword(s):  
Evolution Equation ◽  
Conservation Laws ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Lie Symmetries
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