Integrability and new periodic, kink-antikink and complex optical soliton solutions of (3+ 1)-dimensional variable coefficient DJKM equation for the propagation of …

S Singh, SS Ray - Chaos, Solitons & Fractals, 2023 - Elsevier
This article deals with the (3+ 1)-dimensional variable coefficient Date–Jimbo–Kashiwara–
Miwa equation which describes the behavior of waves as they travel through nonlinear …

New abundant analytic solutions for generalized KdV6 equation with time-dependent variable coefficients using Painlevé analysis and auto-Bäcklund transformation

S Singh, S Saha Ray - … Journal of Geometric Methods in Modern …, 2022 - World Scientific
This paper considers the generalized KdV6 equation with time-dependent variable
coefficients. The integrability of the considered equation is being examined by the Painlevé …

Riemann–Hilbert problem for a (3+ 1)-dimensional nonlinear evolution equation

D Zhao - Wave Motion, 2024 - Elsevier
This paper concentrates on a (3+ 1)-dimensional nonlinear evolution equation. By
introducing a transformation, the (3+ 1)-dimensional nonlinear evolution equation is …

New optical soliton solutions to magneto-optic waveguides

H Rezazadeh, KK Ali, S Sahoo, J Vahidi… - Optical and Quantum …, 2022 - Springer
In this article, based on the concepts of the extended tanh expansion method, the general
nonlinear magneto-optic waveguides that maintain parabolic-nonlocal law of refractive …

New optical analytical solutions to the full nonlinearity form of the space–time Fokas–Lenells model of fractional-order

A Tripathy, S Sahoo, H Rezazadeh… - International Journal of …, 2022 - World Scientific
In this paper, the full nonlinearity form of the space–time fractional Fokas–Lenells equation
is scrutinized to get new analytical solutions. To achieve this, a convenient method is …

New dynamic multiwave solutions of the fractional Peyrard–Bishop DNA model

A Tripathy, S Sahoo - Journal of Computational and …, 2023 - asmedigitalcollection.asme.org
In this paper, we have studied the new solitary wave solutions of the beta-fractional
derivative form of the Peyrard–Bishop DNA model (PB-DNAM). These solutions are …

[HTML][HTML] The new kink type and non-traveling wave solutions of (3+ 1)-dimensional Boiti-Leon-Manna-Pempinelli equation

C Guo, Y Guo, Z Wei, L Gao - Alexandria Engineering Journal, 2024 - Elsevier
In this paper, the new solitary wave solutions of the (3+ 1)-dimensional Boiti-Leon-Manna-
Pempinelli equation are obtained by Lie group symmetry method and the extended …