@Article{JNMA-3-3,
author = {Zhang, Lijun and Simbanefayi, Innocent and Masood, Khalique, Chaudry},
title = {Travelling Wave Solutions and Conservation Laws of the (2+1)-Dimensional Broer-Kaup-Kupershmidt Equation},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2021},
volume = {3},
number = {3},
pages = {421--430},
abstract = {<p style="text-align: justify;">The travelling wave solutions and conservation laws of the (2+1)-dimensional Broer-Kaup-Kupershmidt (BKK) equation are considered in this
paper. Under the travelling wave frame, the BKK equation is transformed to a
system of ordinary differential equations (ODEs) with two dependent variables.
Therefore, it happens that one dependent variable $u$ can be decoupled into
a second order ODE that corresponds to a Hamiltonian planar dynamical
system involving three arbitrary constants. By using the bifurcation analysis,
we obtain the bounded travelling wave solutions $u,$ which include the kink,
anti-kink and periodic wave solutions. Finally, the conservation laws of the
BBK equation are derived by employing the multiplier approach.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2021.421},
url = {https://global-sci.com/article/87981/travelling-wave-solutions-and-conservation-laws-of-the-21-dimensional-broer-kaup-kupershmidt-equation}
}