Applications of the generalized nonlinear evolution equation with symbolic computation approach

S Tarla, KK Ali, A Yusuf, R Yilmazer - Modern Physics Letters B, 2023 - World Scientific
In this work, we will try to find lump solutions, interaction between lump wave and solitary
wave solutions, kink-solitary wave solutions and shock wave-type solutions to (3+ 1) …

Envelope solitons of a discrete NLSE via the multi-scale quasi-discrete approximation method

SF Wang - Optics Express, 2024 - opg.optica.org
The goal of this work is to obtain some envelope solitary solutions of a discrete nonlinear
Schrödinger equation (NLSE) in a local optical lattice potential well through symbolic …

Comparative Study of Rogue Wave Solutions for Autonomous and Non-autonomous Saturable Discrete Nonlinear Schrödinger Equation

M Gupta, S Malhotra, R Gupta - International Journal of Theoretical …, 2023 - Springer
The existence of rogue waves in the saturable discrete nonlinear Schrodinger equation
(SDNLSE) has been established numerically. These extreme waves are created using the …

Exploring the Salerno Model for Rogue Wave Generation: A Linear Stability Analysis Beyond the DNLS and AL Limits

M Gupta, R Gupta, S Malhotra - International Journal of Theoretical …, 2023 - Springer
This study presents a detailed analysis of the Salerno equation, which is a novel
mathematical model for rogue wave generation. The model bridges the discrete nonlinear …

Effect of Cubic And Quintic Nonlinearities on Spatially Generated Rogue Waves In CQDNLSE

M Gupta, S Malhotra, A Kumar… - 2023 2nd Edition of IEEE …, 2023 - ieeexplore.ieee.org
The presence of soliton and multisoliton solutions have been postulated using various
functional forms of Discrete nonlinear Schrödinger equation (DNLSE). These functional …