SOLITARY WAVES OF THE FRACTAL REGULARIZED LONG-WAVE EQUATION TRAVELING ALONG AN UNSMOOTH BOUNDARY

DOI10.1142/S0218348X22500086OpenAlexW3208326103MaRDI QIDQ5062447

Kang-Jia Wang, Jinghua Liu, Geng Li, Guo-Dong Wang

Publication date: 15 March 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22500086

zbMATH Keywords

semi-inverse methodshallow water waveHe's fractal derivativesfractal variational principleHe-Weierstrass functionunsmooth boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Numerical methods for integral equations (65R20) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fractals (28A80) Soliton solutions (35C08) PDEs in connection with geophysics (35Q86)

Related Items (4)

FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES ⋮ INVESTIGATION TO THE LOCAL FRACTIONAL FOKAS SYSTEM ON CANTOR SET BY A NOVEL TECHNOLOGY ⋮ A FRACTAL MODIFICATION OF THE SHARMA–TASSO–OLVER EQUATION AND ITS FRACTAL GENERALIZED VARIATIONAL PRINCIPLE ⋮ On the non‐differentiable exact solutions of the (2 + 1)‐dimensional local fractional breaking soliton equation on Cantor sets

Cites Work

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