Diversity of soliton dynamics, positive multi-complexiton solutions and modulation instability for -dimensional extended Kairat-X equation

MN Rafiq, MH Rafiq, H Alsaud - Modern Physics Letters B, 2025 - World Scientific
This study explores the dynamics of a (3+ 1)-dimensional extended Kairat-X equation,
revealing its connections to differential geometry of curves and equivalence principles …

Modulation Instability, N-Solitons, Resonant Multi-Wave Structures and Other Diverse Interaction Phenomena to the (2+ 1)-Dimensional Kadomtsev-Petviashvili …

MN Rafiq, H Chen - Qualitative Theory of Dynamical Systems, 2025 - Springer
Nonlinear science is a key area of scientific research dedicated to studying the fundamental
properties and common features of nonlinear phenomena. This study specifically …

Asymptotic analysis of resonance behaviors for the (2+ 1)-dimensional generalized fifth-order KdV equation via Hirota's bi-linear method

W Bao, DX Xu - Physica Scripta, 2024 - iopscience.iop.org
The generalized fifth-order Korteweg–de Vries (KdV) equation, encompasses certain
characteristics of the original KdV equation and is capable of describing more complex wave …