A FRACTAL MODIFICATION OF THE UNSTEADY KORTEWEG–DE VRIES MODEL AND ITS GENERALIZED FRACTAL VARIATIONAL PRINCIPLE AND DIVERSE EXACT SOLUTIONS

DOI10.1142/S0218348X22501924OpenAlexW4308570214MaRDI QIDQ5880706

Kang-Jia Wang

Publication date: 6 March 2023

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22501924

zbMATH Keywords

semi-inverse methodsub-equation methodfractal variational principlefractal two-scale transform

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fractals (28A80) Solutions to PDEs in closed form (35C05) Self-similar solutions to PDEs (35C06)

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Cites Work

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• APPLICATION OF THE EXTENDED F-EXPANSION METHOD FOR SOLVING THE FRACTIONAL GARDNER EQUATION WITH CONFORMABLE FRACTIONAL DERIVATIVE
• GENERALIZED VARIATIONAL PRINCIPLES AND NEW ABUNDANT WAVE STRUCTURES OF THE FRACTAL COUPLED BOUSSINESQ EQUATION

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