Coupled fractional nonlinear differential equations and exact Jacobian elliptic solutions for exciton-phonon dynamics

DOI10.1016/j.physleta.2014.06.042zbMath1305.82065OpenAlexW2084813348MaRDI QIDQ480184

Alain Mvogo, Timoléon Créprin Kofané, Germain H. Ben-Bolie

Publication date: 8 December 2014

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2014.06.042

zbMATH Keywords

fractional equations\(\alpha\)-polypeptide chainsF-expansion methodJacobian solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Statistical mechanics of polymers (82D60) NLS equations (nonlinear Schrödinger equations) (35Q55) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Soliton solutions (35C08) Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56)

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Cites Work

• Unnamed Item
• Unnamed Item
• Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities
• The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
• Some applications of fractional equations.
• The periodic wave solutions for the Klein-Gordon-Schrödinger equations
• Fractional quantum mechanics and Lévy path integrals
• Periodic wave solutions to a coupled KdV equations with variable coefficients
• Coupled oscillators with power-law interaction and their fractional dynamics analogues
• The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
• The modified extended Fan's subequation method and its application to \((2+1)\)-dimensional dispersive long wave equation
• Fractional dynamics of systems with long-range interaction
• Fractals and quantum mechanics
• Chaotic and pseudochaotic attractors of perturbed fractional oscillator
• Fractional dynamics of coupled oscillators with long-range interaction
• Perturbations of Solitons and Solitary Waves
• Solitons in Molecular Systems
• Fractional kinetic equations: solutions and applications
• Dark soliton solutions of the coupled Hirota equation in nonlinear fiber
• Long-range interactions in \(\alpha \)-helical proteins with interspine coupling: modulational instability and exact soliton solutions