Soliton solutions and conservation laws for an inhomogeneous fourth-order nonlinear Schrödinger equation

DOI10.1134/S0965542518110106zbMath1416.35248OpenAlexW2902510290WikidataQ114847331 ScholiaQ114847331MaRDI QIDQ2416764

Pan Wang, Jian-Rong Yang, Feng-Hua Qi

Publication date: 24 May 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518110106

zbMATH Keywords

symbolic computationHirota methodauxiliary functioninfinitely many conversation lawsinhomogeneous generalized fourth-order nonlinear Schrödinger equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Soliton equations (35Q51) Statistical mechanics of magnetic materials (82D40)

Related Items (3)

\((2+1)\)-dimensional AKNS \((-N)\) systems. II ⋮ Multiwave interaction solutions for a new extended equation in \((4+1)\)-dimension ⋮ Multi-component AKNS systems

Cites Work

• Unnamed Item
• Hirota bilinear equations with linear subspaces of solutions
• Various exact travelling wave solutions for Kundu equation with fifth-order nonlinear term
• The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
• Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schrödinger equation
• Physical mechanisms of the rogue wave phenomenon.
• Complexiton solutions to the Korteweg-de Vries equation
• A Generalization of Inverse Scattering Method
• Nonlinear-Evolution Equations of Physical Significance
• Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Integration of the modified Korteweg-de Vries hierarchy with an integral type of source
• Integrability and soliton in a classical one-dimensional site-dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity
• Focused tsunami waves
• A summary of numerical methods for time-dependent advection-dominated partial differential equations
• A generalized Davydov soliton model for energy transfer in alpha helical proteins

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