Results 181 to 190 of about 697 (208)

Bright solitons and interaction in the higher-order Gross-Pitaevskii equation investigated with Hirota's bilinear method

Physics Letters, Section A: General, Atomic and Solid State Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Yamapi, Emmanuel Kengne, Olivier Tiokeng Lekeufack   +2 more
exaly   +3 more sources

Constructing Quasi-Periodic Wave Solutions of Differential-Difference Equation by Hirota Bilinear Method

Zeitschrift für Naturforschung A, 2016
Abstract In the present paper, based on the Riemann theta function, the Hirota bilinear method is extended to directly construct a kind of quasi-periodic wave solution of a new integrable differential-difference equation. The asymptotic property of the quasi-periodic wave solution is analyzed in detail.
openaire   +1 more source

Periodic solutions, breather, lump and interaction solutions of a generalized (2+1)-dimensional Hirota bilinear equation via the bilinear neural network method

Communications in Theoretical Physics
Abstract The main focus of this paper is to address a generalized (2+1)-dimensional Hirota bilinear equation utilizing the bilinear neural network method. The paper presents the periodic solutions through a single-layer model of [3-4-1], followed by breather, lump and their interaction solutions by using double-layer models of [3-3-2-1 ...
Zhao, Zhao, Ren, Bo
openaire   +1 more source

Novel soliton solutions of CNLSEs with Hirota bilinear method

Journal of Optics, 2023
openaire   +1 more source

The nondegenerate solitons solutions for the vcGCNLS equations with four-wave mixing terms via the Hirota bilinear method

Physica Scripta
Abstract In this article, we delve into the variable coefficient generalized coupled nonlinear Schrödinger (vcGCNLS) equations with four-wave mixing terms in the context of a birefringent fiber, encompassing time-dependent diffraction, nonlinearity, and gain (loss) parameters.
Zilin Wang, Ben Gao
openaire   +1 more source

New local and nonlocal soliton solutions of a nonlocal reverse space-time mKdV equation using improved Hirota bilinear method

Physics Letters, Section A: General, Atomic and Solid State Physics, 2022
Shabir Ahmad, Sayed Saifullah, Mustafa İnç   +2 more
exaly  

Analysis of interaction of lump solutions with kink-soliton solutions of the generalized perturbed KdV equation using Hirota-bilinear approach

Physics Letters, Section A: General, Atomic and Solid State Physics, 2022
Sayed Saifullah, Shabir Ahmad, Maryam Ahmed Alyami   +2 more
exaly  

Hirota Bilinear Performance on Hirota–Satsuma–Ito Equation Using Bilinear Neural Network Method

International Journal of Applied and Computational Mathematics
Nguyen Minh Tuan, Nguyen Hong Son
openaire   +1 more source

An improved Hirota bilinear method and new application for a nonlocal integrable complex modified Korteweg-de Vries (MKdV) equation

Physics Letters, Section A: General, Atomic and Solid State Physics, 2019
Fajun Yu
exaly  

Hirota's bilinear method

2016
openaire   +1 more source