TY - JOUR
ID - 8233
TI - Multi-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Roshid, Harun-Or-
AD - Department of Mathematics,
Pabna University of Science and Technology, Bangladesh
Y1 - 2019
PY - 2019
VL - 7
IS - 1
SP - 86
EP - 95
KW - Direct rational exponential scheme
KW - Calogero–Bogoyavlenskii–Schiff equation
KW - KdV equation
KW - Multi-soliton solutions
DO -
N2 - A direct rational exponential scheme is offered to construct exact multi-soliton solutions of nonlinear partial differential equation. We have considered the Calogeroâ€“Bogoyavlenskiiâ€“Schiff equation and KdV equation as two concrete examples to show efficiency of the method. As a result, one wave, two wave and three wave soliton solutions are obtained. Corresponding potential energy of the soliton solutions are also found. Furthermore, three-dimensional plots of the wave solutions and its potential functions are given to visualize the dynamics of the model and their energy. We also provided the corresponding density plot of the solutions to understand the real direction and particles density in the waves which help to realize the elastic situations of the achieved solutions.
UR - https://cmde.tabrizu.ac.ir/article_8233.html
L1 - https://cmde.tabrizu.ac.ir/article_8233_2f1e949b8477c91b50ac8bbcb9d780b0.pdf
ER -