Shallow-water waves through two new generalized multi-dimensional variable coefficient equations

V Palamara, B Neal, L Akinyemi, F Erebholo… - Physics of …, 2024 - pubs.aip.org
The objective of this study is to propose and investigate two new forms of generalized
variable coefficients within multi-dimensional equations describing shallow-water waves …

A Study of Nonlinear Riccati Equation and Its Applications to Multi-dimensional Nonlinear Evolution Equations

L Akinyemi, F Erebholo, V Palamara… - Qualitative Theory of …, 2024 - Springer
In this paper, an improved nonlinear Riccati equation method is established and then used
to study nonlinear evolution equations with variable coefficients. The idea behind this …

A new study on fractional Schamel Korteweg–De Vries equation and modified Liouville equation

DA Koç, Y Pandır, H Bulut - Chinese Journal of Physics, 2024 - Elsevier
Traveling wave solutions of fractional partial differential equations have great importance in
the literature. The diversity of solutions plays an important role in understanding the physical …

[引用][C] Exact solutions and their local structures of an inverse scattering integrable system with variable coefficients

S Zhang, L Qi - International Journal of Geometric Methods in …, 2024 - World Scientific
An important manifestation of the integrability of nonlinear mathematical and physical
models is their solvability through inverse scattering transform (IST). The problem to be …