VARIATIONAL PRINCIPLE FOR A GENERALIZED KdV EQUATION IN A FRACTAL SPACE

DOI10.1142/S0218348X20500693zbMath1441.35009OpenAlexW3010908677MaRDI QIDQ5122203

Yue Shen, Ji-Huan He

Publication date: 22 September 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20500693

zbMATH Keywords

semi-inverse methodvariational theoryfractal calculus

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Fractals (28A80) Fractional partial differential equations (35R11)

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NUMERICAL APPROACHES TO TIME FRACTIONAL BOUSSINESQ–BURGERS EQUATIONS ⋮ NUMERICAL SOLUTIONS OF SPACE FRACTIONAL VARIABLE-COEFFICIENT KdV–MODIFIED KdV EQUATION BY FOURIER SPECTRAL METHOD ⋮ Numerical solutions of the fractal foam drainage equation ⋮ STUDY OF NONLINEAR HIROTA–SATSUMA COUPLED KdV AND COUPLED mKdV SYSTEM WITH TIME FRACTIONAL DERIVATIVE ⋮ ON THE FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION ⋮ FRACTAL LAKSHMANAN–PORSEZIAN–DANIEL MODEL WITH DIFFERENT FORMS OF NONLINEARITY AND ITS NOVEL SOLITON SOLUTIONS

Cites Work

• A tutorial review on fractal spacetime and fractional calculus
• Generalized variational principles for buckling analysis of circular cylinders
• Taylor series solution for Lane-Emden equation
• A variational principle for a thin film equation
• A REMARK ON WANG’S FRACTAL VARIATIONAL PRINCIPLE