NUMERICAL SOLUTIONS OF SPACE FRACTIONAL VARIABLE-COEFFICIENT KdV–MODIFIED KdV EQUATION BY FOURIER SPECTRAL METHOD

DOI10.1142/S0218348X21502467zbMath1506.35199OpenAlexW3193961167MaRDI QIDQ5082106

Che Han, Zhi-yuan Li, Yu-Lan Wang

Publication date: 15 June 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21502467

zbMATH Keywords

numerical resultsKdV equationFourier spectral methodvariable-coefficient

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Fractional partial differential equations (35R11)

Related Items (6)

NUMERICAL SIMULATION OF THE FRACTIONAL-ORDER RÖSSLER CHAOTIC SYSTEMS WITH GRÜNWALD–LETNIKOV FRACTIONAL DERIVATIVE ⋮ Novel patterns in a class of fractional reaction-diffusion models with the Riesz fractional derivative ⋮ A high-precision numerical approach to solving space fractional Gray-Scott model ⋮ Homotopy perturbation method for strongly nonlinear oscillators ⋮ A MODIFIED FREQUENCY–AMPLITUDE FORMULATION FOR FRACTAL VIBRATION SYSTEMS ⋮ SOLITARY WAVES OF THE VARIANT BOUSSINESQ–BURGERS EQUATION IN A FRACTAL-DIMENSIONAL SPACE

Uses Software

• Matlab
• FFTW

Cites Work

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