New perspective to the fractal Konopelchenko–Dubrovsky equations with M-truncated fractional derivative

DOI10.1142/s021988782350072xOpenAlexW4308571620MaRDI QIDQ6181009

Kangle Wang

Publication date: 22 January 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021988782350072x

zbMATH Keywords

\(M\)-truncated fractional derivativefractal Konopelchenko-Dubrovsky equationsfractal solitary wave

Mathematics Subject Classification ID

Soliton solutions (35C08) Fractional partial differential equations (35R11)

Cites Work

• New exact solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
• A generalized \(F\)-expansion method and new exact solutions of Konopelchenko--Dubrovsky equations
• New kinks and solitons solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
• Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations
• Soliton solutions of KD system using similarity transformations method
• A spectral collocation method for fractional chemical clock reactions
• An analysis of time-fractional heat transfer problem using two-scale approach
• A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
• A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow
• An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain
• Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel
• On a strong minimum condition of a fractal variational principle
• The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
• A hybrid computational approach for Klein-Gordon equations on Cantor sets
• A new truncated $M$-fractional derivative type unifying some fractional derivative types with classical properties
• A NOVEL VARIATIONAL APPROACH TO FRACTAL SWIFT–HOHENBERG MODEL ARISING IN FLUID DYNAMICS
• New optical soliton solutions of Biswas–Arshed model with Kerr law nonlinearity
• A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods
• On the (N+1)‐dimensional local fractional reduced differential transform method and its applications

This page was built for publication: New perspective to the fractal Konopelchenko–Dubrovsky equations with M-truncated fractional derivative