Paul-Painlevé analysis, soliton and periodic wave in the fractional thermophoretic motion equation via graphene sheets

DOI10.1007/s12346-024-01004-0OpenAlexW4392793255MaRDI QIDQ6123754

Xianqing Rao, Qurbanova Afat Qahraman Qizi, Jalil Manafian Heris, Enas R. Alwaily, Baharak Eslami, Maha Khalid Abdulameer, Mehrad Gavahi

Publication date: 8 April 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-024-01004-0

zbMATH Keywords

travelling waveperiodic typebright-dark soliton solutionsfractional thermophoretic motion equationPaul-Painlevé operator

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

• \(N\)-lump solutions to a \((3+1)\)-dimensional variable-coefficient generalized nonlinear wave equation in a liquid with gas bubbles
• The wrinkle-like N-solitons for the thermophoretic motion equation through graphene sheets
• Combined damped sinusoidal oscillation solutions to the \((3 + 1)\)-D variable-coefficient generalized NLW equation in liquid with gas bubbles
• Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation
• Multiple rogue wave and solitary solutions for the generalized BK equation via Hirota bilinear and SIVP schemes arising in fluid mechanics
• Abundant different types of exact soliton solution to the (4+1)-dimensional Fokas and (2+1)-dimensional breaking soliton equations
• A robust observer based on the nonlinear descriptor systems application to estimate the state of charge of lithium-ion batteries
• Dynamics investigation and solitons formation for \((2+1)\) -dimensional zoomeron equation and foam drainage equation
• Breather wave solutions for the \((3+1)\)-D generalized shallow water wave equation with variable coefficients
• Wave profile, Paul-Painlevé approaches and phase plane analysis to the generalized (3+1)-dimensional shallow water wave model

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