Newly exploring the Lax pair, bilinear form, bilinear Bäcklund transformation through binary Bell polynomials, and analytical solutions for the (2+ 1)-dimensional …

S Singh, S Saha Ray - Physics of Fluids, 2023 - pubs.aip.org
The (2+ 1)-dimensional generalized Hirota–Satsuma–Ito equation describing the numerous
wave dynamics in shallow waters is investigated in this study. The integrable characteristics …

[HTML][HTML] Hirota D-operator forms, multiple soliton waves, and other nonlinear patterns of a 2D generalized Kadomtsev–Petviashvili equation

T Umar, K Hosseini, B Kaymakamzade… - Alexandria Engineering …, 2024 - Elsevier
In the present paper, extensive research is conducted on a 2D generalized Kadomtsev–
Petviashvili (2D-gKP) equation which models water waves with long wavelengths. The study …

Breathers, Soliton and Hybrid Solutions for generalized (2+ 1) dimensional Soliton Equation

MA Ilyas, A Javid - Optik, 2023 - Elsevier
This article studies lump and its interaction solutions, breather and solitary wave solutions
for generalized (2+ 1) dimensional Soliton equation by using direct method based on …