Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using bilinear neural network method
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Publication:2661864
DOI10.1007/s11424-020-9392-5zbMath1461.35097OpenAlexW3106489632WikidataQ114222442 ScholiaQ114222442MaRDI QIDQ2661864
Run-Fa Zhang, Sudao Bilige, Temuer Chaolu
Publication date: 8 April 2021
Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11424-020-9392-5
Nonlinear higher-order PDEs (35G20) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)
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A COMPARATIVE ANALYSIS REPORT ON THE MULTI-WAVE FRACTIONAL HIROTA EQUATION IN NONLINEAR DISPERSIVE MEDIA ⋮ Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method ⋮ Coupled Higgs equation: novel solution via GSSE method, bifurcation and chaotic patterns and series solution via symmetry ⋮ Decompositions and linear superpositions of B‐type Kadomtsev‐Petviashvili equations ⋮ A new method for solving nonlinear partial differential equations based on liquid time-constant networks ⋮ Wave profile, Paul-Painlevé approaches and phase plane analysis to the generalized (3+1)-dimensional shallow water wave model ⋮ Higher-dimensional integrable deformations of the modified KdV equation ⋮ Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics ⋮ Three types of periodic solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method
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