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

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 Lump Solutions, Multi Lump Solutions and More Soliton Solutions of a Novel (2+1)-dimensional Nonlinear Evolution Equation

2021 ◽  
Author(s):  
Hongcai Ma ◽  
Shupan Yue ◽  
Yidan Gao ◽  
Aiping Deng
Keyword(s):  
Evolution Equation ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
Bilinear Method ◽  
Test Function ◽  
Lump Solutions ◽  
Hirota Bilinear ◽  
Test Function Method

Abstract Exact solutions of a new (2+1)-dimensional nonlinear evolution equation are studied. Through the Hirota bilinear method, the test function method and the improved tanh-coth and tah-cot method, with the assisstance of symbolic operations, one can obtain the lump solutions, multi lump solutions and more soliton solutions. Finally, by determining different parameters, we draw the three-dimensional plots and density plots at different times.

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.

The Properties of Bilinear Derivative

2014 ◽  
Vol 543-547 ◽  
pp. 1905-1908
Author(s):  
Ju Mei Zhang ◽  
Hong Lun Wang ◽  
Wen Yan Cui
Keyword(s):  
Evolution Equation ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Learning And Teaching ◽  
Derivative Method ◽  
Nonlinear Science ◽  
Definition Of

Bilinear derivative method is widely used in calculating multi-soliton solutions of some nonlinear evolution equation. The paper proves some frequently used properties of bilinear derivative from the perspective of the definition of bilinear derivative, hoping to be useful for learning and teaching in nonlinear science.

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