Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method
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Publication:2170351
DOI10.1016/j.chaos.2021.111692zbMath1498.35162OpenAlexW4200218775MaRDI QIDQ2170351
Run-Fa Zhang, Jian-Yuan Gan, Qing Li, Zhong-Zhou Lan, Ming-Chu Li
Publication date: 2 September 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111692
symbolic computationphysical informed neural networks(3+1)-dimensional breaking soliton equationBNNM
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Uses Software
Cites Work
- Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation
- One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada-Kotera equation
- The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation
- Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation
- Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3 + 1)-dimensional generalized breaking soliton equation
- Dark soliton solutions for a coupled nonlinear Schrödinger system
- Generalized lump solutions, classical lump solutions and rogue waves of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using bilinear neural network method
- Lump-type solution and breather lump-kink interaction phenomena to a \(( 3+1)\)-dimensional GBK equation based on trilinear form
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