Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method
type: Item
instance of: scholarly article
title: Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method
zbMATH Open document ID: 1498.35162
author: Run-Fa Zhang
author: Jian-Yuan Gan
author: Qing Li
author: Zhong-Zhou Lan
author: Mingchu Li
published in: Chaos, Solitons and Fractals
publication date: 2022-09-02T00:00:00Z
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7581705
zbMATH Keywords: symbolic computation
zbMATH Keywords: BNNM
zbMATH Keywords: physical informed neural networks
zbMATH Keywords: (3+1)-dimensional breaking soliton equation
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: j.chaos.2021.111692
OpenAlex ID: W4200218775
cites work: Lump-type solution and breather lump-kink interaction phenomena to a \(( 3+1)\)-dimensional GBK equation based on trilinear form
cites work: Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using bilinear neural network method
cites work: One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada-Kotera equation
cites work: The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation
cites work: Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation
cites work: Dark soliton solutions for a coupled nonlinear Schrödinger system
cites work: Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation
cites work: Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
cites work: Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3 + 1)-dimensional generalized breaking soliton equation
cites work: Generalized lump solutions, classical lump solutions and rogue waves of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation
DOI: 10.1016/J.CHAOS.2021.111692
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description: scientific article