VARIATIONAL PRINCIPLE FOR (2 + 1)-DIMENSIONAL BROER–KAUP EQUATIONS WITH FRACTAL DERIVATIVES

DOI10.1142/S0218348X20501078zbMath1504.35299OpenAlexW3031758277MaRDI QIDQ5085426

Cheng-Zhuo Zhang, Xiaoqun Cao, Shi-Cheng Hou, Yanan Guo, Unnamed Author

Publication date: 27 June 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20501078

zbMATH Keywords

variational principlefractal dimensionsemi-inverse method\((2+1)\)-dimensional Broer-Kaup equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fractional derivatives and integrals (26A33) Fractals (28A80) Variational principles of physics (49S05) Fractional partial differential equations (35R11)

Related Items (7)

AN INSIGHT ON THE (2 + 1)-DIMENSIONAL FRACTAL NONLINEAR BOITI–LEON–MANNA–PEMPINELLI EQUATIONS ⋮ Analysis of fractional multi-dimensional Navier-Stokes equation ⋮ An analysis of time-fractional heat transfer problem using two-scale approach ⋮ Solitary waves of the fractal Whitham-Broer-Kaup equation in shallow water ⋮ VARIATIONAL PRINCIPLES FOR FRACTAL WHITHAM–BROER–KAUP EQUATIONS IN SHALLOW WATER ⋮ A NOVEL APPROACH FOR FRACTAL BURGERS–BBM EQUATION AND ITS VARIATIONAL PRINCIPLE ⋮ EFFECTS OF A CAVITY’S FRACTAL BOUNDARY ON THE FREE FRONT INTERFACE OF THE POLYMER FILLING STAGE

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