TY - JOUR
T1 - Localised Nonlinear Wave Interaction in the Generalised Kadomtsev-Petviashvili Equation
AU - Liu , Yaqing
AU - Ren , Bo
AU - Wang , Deng-Shan
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 301
EP - 325
PY - 2021
DA - 2021/02
SN - 11
DO - http://doi.org/10.4208/eajam.290820.261020
UR - https://global-sci.org/intro/article_detail/eajam/18636.html
KW - Generalised Kadomtsev-Petviashvili equation, $τ$-function formalism, waves interaction.
AB - <p style="text-align: justify;">The Hirota bilinear scheme and $τ$-function formalism is used in the study of
localised nonlinear wave interaction structures generated by the six-soliton solutions of
the generalised Kadomtsev-Petviashvili equation. Employing different sets of parameters
and the long wave limit method, we consider examples of interaction of various types
of waves — viz. line solitons, breathers and lumps. The dynamics of the corresponding
interaction is demonstrated graphically to visualise the type of actions. The results obtained may be helpful in understanding the wave propagation in liquids containing gas
bubbles.</p>