A NEW PERSPECTIVE ON THE STUDY OF THE FRACTAL COUPLED BOUSSINESQ–BURGER EQUATION IN SHALLOW WATER

DOI10.1142/S0218348X2150122XOpenAlexW3135362462MaRDI QIDQ5024021

Kang-Jia Wang, Hongwei Zhu, Guo-Dong Wang

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x2150122x

zbMATH Keywords

periodic wave solutionsemi-inverse methodHe's variational methodfractal variational principlefractal coupled Boussinesq-Burger equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Euler equations (35Q31)

Related Items (10)

NUMERICAL APPROACHES TO TIME FRACTIONAL BOUSSINESQ–BURGERS EQUATIONS ⋮ On new abundant exact traveling wave solutions to the local fractional Gardner equation defined on Cantor sets ⋮ Variational theory and new abundant solutions to the (1+2)-dimensional chiral nonlinear Schrödinger equation in optics ⋮ Generalized variational principle and periodic wave solution to the modified equal width-Burgers equation in nonlinear dispersion media ⋮ Numerical solutions of the fractal foam drainage equation ⋮ On a variational principle for the fractal Wu-Zhang system arising in shallow water ⋮ Solitary waves of the fractal Whitham-Broer-Kaup equation in shallow water ⋮ Diverse precise traveling wave solutions possessing beta derivative of the fractional differential equations arising in mathematical physics ⋮ VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES ⋮ A study of moisture content in unsaturated porous medium by using homotopy perturbation method (HPM) and variational iteration method (VIM)

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