Painlevé analysis, auto-Bäcklund transformation and analytic solutions for modified KdV equation with variable coefficients describing dust acoustic solitary structures …

S Singh, SS Ray - Modern Physics Letters B, 2021 - World Scientific
In this paper, variable coefficients mKdV equation is examined by using Painlevé analysis
and auto-Bäcklund transformation method. The proposed equation is an important equation …

Diverse new solitons and other exact solutions for concatenation model using modified extended mapping method

WB Rabie, TA Khalil, N Badra, MS Hashemi… - Optical and Quantum …, 2023 - Springer
The study focuses on the combination of three mathematical models, namely nonlinear
Schrödinger's equation, Lakshmanan–Porsezian–Daniel model, and Sasa–Satsuma model …

[PDF][PDF] Novel analytical superposed nonlinear wave structures for the eighth-order (3+ 1)-dimensional Kac-Wakimoto equation using improved modified extended tanh …

WB Rabie, HM Ahmed, TA Nofal… - AIMS Mathematics, 2024 - aimspress.com
Higher-order nonlinear partial differential equations, such as the eighth-order Kac-Wakimoto
model, are useful for studying wave turbulence in fluids, where energy transfers across a …

[PDF][PDF] Breather wave, resonant multi-soliton and M-breather wave solutions for a (3+ 1)-dimensional nonlinear evolution equation

S Tao - AIMS Mathematics, 2022 - aimspress.com
In this paper, a (3+ 1)-dimensional nonlinear evolution equation is considered. First, its
bilinear formalism is derived by introducing dependent variable transformation. Then, its …