Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic …

M Wang, B Tian, TY Zhou - Chaos, Solitons & Fractals, 2021 - Elsevier
Spin waves, usually used in radar and communication system, are the collective excitation of
spin system in ferromagnetic metals, and considered as potential data carriers for computing …

Closed-form solutions of the nonlinear Schrödinger equation with arbitrary dispersion and potential

AD Polyanin, NA Kudryashov - Chaos, Solitons & Fractals, 2025 - Elsevier
For the first time, the general nonlinear Schrödinger equation is investigated, in which the
chromatic dispersion and potential are specified by two arbitrary functions. The equation in …

Loop dynamics of a fully discrete short pulse equation

H Sarfraz, U Saleem, Y Hanif - Modern Physics Letters A, 2023 - World Scientific
In this paper, a fully discrete short pulse (SP) equation is presented as an integrability
condition of a linear system of difference equations (also known as discrete Lax pair) …

Wavelet Operational Matrices and Lagrange Interpolation Differential Quadrature‐Based Numerical Algorithms for Simulation of Nanofluid in Porous Channel

AM Alqahtani, R Jiwari - Journal of Mathematics, 2022 - Wiley Online Library
This work analyses the features of nanofluid flow and thermal transmission (NFTT) in a
rectangular channel which is asymmetric by develo** two numerical algorithms based on …

On analytic series solutions and conserved fluxes of the time fractional (2+ 1)-dimensional Burger's system via invariant approach

S San, P Kumari, S Kumar - Waves in Random and Complex …, 2024 - Taylor & Francis
The article investigates some new properties such as invariant transformations, conserved
vectors, and closed-form series solutions of (2+ 1) dimensional nonlinear coupled Burger …