RT journal article
T1 Conservation Laws and Travelling Wave Solutions for a Negative-Order KdV-CBS Equation in 3+1 Dimensions
A1 Gandarias Núñez, María Luz
A1 Raza, Nauman
A2 Matemáticas
K1 lie symmetries
K1 exact solutions
K1 invariant solutions
AB In this paper, we study a new negative-order KdV-CBS equation in (3 + 1) dimensions which is a combination of the Korteweg-de Vries (KdV) equation and Calogero-Bogoyavlenskii-Schiff (CBS) equation. Firstly, we determine the Lie point symmetries of the equation and conservation laws by using the multiplier method. The conservation laws will be used to obtain a triple reduction to a second order ordinary differential equation (ODE), which lead to line travelling waves and soliton solutions. Such solitons are obtained via the modified form of simple equation method and are displayed through three-dimensional plots at specific parameter values to lend physical meaning to nonlinear phenomena. It illustrates that these solutions might be extremely beneficial in understanding physical phenomena in a variety of applied mathematics areas.
PB MDPI
SN 2073-8994
YR 2022
FD 2022-09
LK http://hdl.handle.net/10498/28380
UL http://hdl.handle.net/10498/28380
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026