Study of three integrable extensions of Kadomtsev―Petviashvili, Boussinesq, and Kadomtsev―Petviashvili―Boussinesq equations
Year: 2024
Type: article
Abstract: We study three (2 + 1)-dimensional extensions of Kadomtsev–Petviashvili (eKP) equation, Boussinesq (eBO) equation, and Kadomtsev–PetviashviliBoussinesq (eKP-eBO) equation that appear in many physical settings in dissipative media. The Painleve test is employed to confirm the integrability of each proposed ´ model. We furnish dispersion relations, phase shifts, and multiple soliton solutions for each extended model. The bilinear form of each equation will be used to explore a class of lump solutions for these equations using distinct values of the parameters.
Source: Romanian Reports in Physics
Author: WAZWAZ ABDUL-MAJID
Institution: Saint Xavier University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4404542897