Now showing items 1-5 of 5
Lump, its interaction phenomena and conservation laws to a nonlinear mathematical model
(Shanghai Jiaotong University, 2021)
We solve the Ostrovsky equation in the absence of the rotation effect using the Hirota bilinear method and symbolic calculation. Some unique interaction phenomena have been obtained between lump solution, breather wave, ...
On the lump solutions, breather waves, two - wave solutions of (2 + 1) - dimensional Pavlov equation and stability analysis
(World Scientific, 2022)
Hirota's bilinear method (HBM) has been successfully applied to the (2 + 1)-dimensional Pavlov equation to analyze the different wave structures in this paper. The (2 + 1)-dimensional Pavlov equation is used for the study ...
New lump, lump-kink, breather waves and other interaction solutions to the (3+1)- dimensional soliton equation
(Institute of Theoretical Physics, 17.08.2020)
This study investigates the (3+1)-dimensional soliton equation via the Hirota bilinear approach and symbolic computations. We successfully construct some new lump, lump-kink, breather wave, lump periodic, and some other ...
On the breather waves, lump solutions, two-wave solutions of (3+1) dimensional Martínez Alonso–Shabat equation
(Shanghai Jiaotong University, 2022)
We effectively utilize Hirota’s bilinear method (HBM) in this article to scrutinize the diverse wave profiles to the (3 + 1) dimensional Martínez Alonso–Shabat equation when the test function approaches are taken into ...
Lump interaction phenomena to the nonlinear ill-posed Boussinesq dynamical wave equation
Abstract In this manuscript, we discuss the dynamical behavior of ill-posed Boussinesq (IPB) dynamical wave equation. This equation depicts how long wave made in shallow water propagates due to the influence of gravity. ...