M-lump solutions and interactions phenomena for the (2+1)-dimensional KdV equation with constant and time-dependent coefficients

2021 ◽  
Author(s):  
Karmina K. Ali ◽  
Resat Yilmazer
Keyword(s):  
Kdv Equation ◽  
Time Dependent ◽  
Lump Solutions

Dynamics of multi-breathers, N-solitons and M-lump solutions in the (2+1)-dimensional KdV equation

2019 ◽  
Vol 96 (2) ◽  
pp. 1605-1614 ◽  
Author(s):  
Wei Tan ◽  
Zheng-De Dai ◽  
Zhao-Yang Yin
Keyword(s):  
Kdv Equation ◽  
Lump Solutions

Solutions of the generalized KdV equation with time-dependent damping and dispersion

2010 ◽  
Vol 216 (4) ◽  
pp. 1029-1035 ◽  
Author(s):  
Yang Yang ◽  
Zhao-ling Tao ◽  
Francis R. Austin
Keyword(s):  
Kdv Equation ◽  
Time Dependent ◽  
Generalized Kdv Equation

EXACT SOLITON SOLUTIONS AND QUASI-PERIODIC WAVE SOLUTIONS TO THE FORCED VARIABLE-COEFFICIENT KdV EQUATION

2012 ◽  
Vol 26 (19) ◽  
pp. 1250072 ◽  
Author(s):  
YI ZHANG ◽  
ZHILONG CHENG
Keyword(s):  
Variable Coefficient ◽  
Kdv Equation ◽  
Soliton Solutions ◽  
Periodic Wave ◽  
Time Dependent ◽  
Bilinear Method ◽  
Periodic Wave Solutions ◽  
Wave Solutions ◽  
Hirota Bilinear ◽  
Exact Soliton Solutions

In this paper, the time-dependent variable-coefficient KdV equation with a forcing term is considered. Based on the Hirota bilinear method, the bilinear form of this equation is obtained, and the multi-soliton solutions are studied. Then the periodic wave solutions are obtained by using Riemann theta function, and it is also shown that classical soliton solutions can be reduced from the periodic wave solutions.

Symmetries and conservation laws of a fifth-order KdV equation with time-dependent coefficients and linear damping

2015 ◽  
Vol 84 (1) ◽  
pp. 135-141 ◽  
Author(s):  
R. de la Rosa ◽  
M. L. Gandarias ◽  
M. S. Bruzón
Keyword(s):  
Conservation Laws ◽  
Kdv Equation ◽  
Time Dependent ◽  
Linear Damping ◽  
Fifth Order

Group analysis of KdV equation with time dependent coefficients

2010 ◽  
Vol 216 (12) ◽  
pp. 3761-3771 ◽  
Author(s):  
A.G. Johnpillai ◽  
C.M. Khalique
Keyword(s):  
Kdv Equation ◽  
Group Analysis ◽  
Time Dependent

1-Soliton solutions of complex modified KdV equation with time-dependent coefficients

2013 ◽  
Vol 87 (9) ◽  
pp. 909-912 ◽  
Author(s):  
H. Kumar ◽  
F. Chand
Keyword(s):  
Kdv Equation ◽  
Soliton Solutions ◽  
Time Dependent ◽  
Modified Kdv Equation

Conservation laws of KdV equation with time dependent coefficients

2011 ◽  
Vol 16 (8) ◽  
pp. 3081-3089 ◽  
Author(s):  
A.G. Johnpillai ◽  
C.M. Khalique
Keyword(s):  
Conservation Laws ◽  
Kdv Equation ◽  
Time Dependent
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