Prolongation structures and \(N\)-soliton solutions for a new nonlinear Schrödinger-type equation via Riemann-Hilbert approach

DOI10.1155/2019/4058041zbMath1435.35352OpenAlexW2956896480MaRDI QIDQ2298388

Yanyan Li

Publication date: 20 February 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/4058041

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (3)

Lump solutions and interaction solutions for the dimensionally reduced nonlinear evolution equation ⋮ Behavior of the correction equations in the Jacobi-Davidson method ⋮ Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation

Cites Work

• Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value
• Frobenius integrable decompositions of nonlinear evolution equations with modified term
• Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects
• Partial differential equations possessing Frobenius integrable decompositions
• Component-trace identity for Hamiltonian structure of the integrable couplings of the giachetti-johnson (GJ) hierarchy and coupling integrable couplings
• Prolongation structures of a generalized coupled Korteweg-de Vries equation and Miura transformation
• Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schrödinger equation
• The initial-boundary value problem for the Ostrovsky-Vakhnenko equation on the half-line
• Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• Symmetry analysis for three-dimensional dissipation Rossby waves
• \(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system
• The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations
• The prolongation structure of a coupled KdV equation
• Algebro-geometric solutions for a discrete integrable equation
• Study of ion-acoustic solitary waves in a magnetized plasma using the three-dimensional time-space fractional Schamel-KdV equation
• Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows
• Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
• Time-fractional Benjamin-Ono equation for algebraic gravity solitary waves in baroclinic atmosphere and exact multi-soliton solution as well as interaction
• Solution to PSPACE-complete problem using P systems with active membranes with time-freeness
• Prolongation structures and matter-wave solitons in \(F=1\) spinor Bose-Einstein condensate with time-dependent atomic scattering lengths in an expulsive harmonic potential
• Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line
• Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique
• Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
• Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
• Prolongation structures of nonlinear evolution equations
• Prolongation structures and a generalized inverse scattering problem
• N solutions for a derivative nonlinear Schrödinger‐type equation via Riemann‐Hilbert approach
• Fermionic covariant prolongation structure theory for a (2+1)-dimensional super nonlinear evolution equation
• General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations
• PEAKON AND CUSPON SOLUTIONS OF A GENERALIZED CAMASSA-HOLM-NOVIKOV EQUATION
• The time-fractional mZK equation for gravity solitary waves and solutions using sech-tanh and radial basis function method
• Integrable properties of the general coupled nonlinear Schrödinger equations
• The asymptotic stability of solitons in the cubic NLS equation on the line
• Introduction to Lie Algebras and Representation Theory

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