A Study of Nonlinear Riccati Equation and Its Applications to Multi-dimensional Nonlinear Evolution Equations
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 …
to study nonlinear evolution equations with variable coefficients. The idea behind this …
Shallow-water waves through two new generalized multi-dimensional variable coefficient equations
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 …
variable coefficients within multi-dimensional equations describing shallow-water waves …
Rossby waves and their dynamics for an extended mKdV equation with spatiotemporal variable coefficients in geophysical fluid
T Yin, H Dong, W Wang, J Pang - Chinese Journal of Physics, 2025 - Elsevier
In this article, via the slow stretch coordinates transformation and perturbation expansion
method, the dimensionless quasi-geostrophic vorticity equation including topography with …
method, the dimensionless quasi-geostrophic vorticity equation including topography with …
A new study on fractional Schamel Korteweg–De Vries equation and modified Liouville equation
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 …
the literature. The diversity of solutions plays an important role in understanding the physical …
[CITATION][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 …, 2025 - 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 …
models is their solvability through inverse scattering transform (IST). The problem to be …