TY - JOUR
T1 - Dynamics of Solitary Waves and Periodic Waves in a (3 + 1)-Dimensional Nonlinear Evolution Equation
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 477
EP - 497
PY - 2018
DA - 2018/08
SN - 8
DO - http://doi.org/10.4208/eajam.221017.250218
UR - https://global-sci.org/intro/article_detail/eajam/12620.html
KW - (3 + 1)-dimensional generalised nonlinear evolution equation, exact solutions, solitary waves, periodic waves, asymptotic properties.
AB - <p style="text-align: justify;">The Hirota bilinear method is applied to a generalised (3 + 1)-dimensional
nonlinear evolution equation. Using the Riemann theta function, we construct periodic
wave solutions of the Eq. (1.1) and discuss their properties. Graphic examples show the
propagation of the corresponding waves for different sets of parameters. We also study
the asymptotic of periodic waves and their relation with solution solutions.</p>