TY - JOUR
ID - 33673
TI - Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Kazemi, Rasool
AU - Mossadeghi, Masoud
AD - Department of Pure Mathematics,
University of Kashan,
Kashan, I. R. Iran
AD - Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111
Y1 - 2019
PY - 2019
VL - 4
IS - 2
SP - 263
EP - 279
KW - General Burgers-Boussinesq equation
KW - travelling wave solutions
KW - bifurcation theory
DO - 10.22052/mir.2016.33673
N2 - By using bifurcation theory of planar dynamical systems, we classify all bounded travelling wave solutions of the general Burgers-Boussinesq equation, and we give their corresponding phase portraits. In different parametric regions, different types of trav- elling wave solutions such as solitary wave solutions, cusp solitary wave solutions, kink(anti kink) wave solutions and periodic wave solutions are simulated. Also in each parameter bifurcation sets, we obtain the exact explicit parametric representation of all travelling wave solutions.
UR - https://mir.kashanu.ac.ir/article_33673.html
L1 - https://mir.kashanu.ac.ir/article_33673_c46440a9ce390b0837c9ce8d88d78e80.pdf
ER -