Applications of sine-cosine wavelets method for solving the generalized Hirota-Satsuma coupled KdV equation

DOI10.1007/s40096-022-00477-xzbMath1527.65101OpenAlexW4283580700MaRDI QIDQ6066839

Reza Pourgholi, Naser Azizi

Publication date: 14 December 2023

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-022-00477-x

zbMATH Keywords

convergence analysisnumerical methoderror estimationoperational matrixgeneralized Hirota-Satsuma coupled KdV equationsine-cosine wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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• New analytical positon, negaton and complexiton solutions of a coupled KdV-mKdV system
• Numerical solution of linear integro-differential equation by using sine-cosine wavelets
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• Sine-cosine wavelets approach in numerical evaluation of Hankel transform for seismology
• The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
• Solution of time‐fractional generalized Hirota‐Satsuma coupled KdV equation by generalised differential transformation method
• Ten Lectures on Wavelets
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• The decomposition method for a Hirota–Satsuma coupled KdV equation and a coupled MKdV equation
• Sine-cosine wavelets operational matrix of integration and its applications in the calculus of variations
• Sine‐cosine wavelet method for fractional oscillator equations
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
• Numerical implementation of nonlinear system of fractional Volterra integral–differential equations by Legendre wavelet method and error estimation

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