Multicomponent equations associated to non-isospectral scattering problems
From MaRDI portal
Publication:4374843
DOI10.1088/0266-5611/13/6/004zbMath0889.35094OpenAlexW2036126796MaRDI QIDQ4374843
Peter A. Clarkson, Pilar Ruiz Gordoa, Andrew Pickering
Publication date: 26 January 1998
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/13/6/004
Schrödinger operatorDym equationAKNS equationFuchssteiner-Fokas-Camassa-Holm equationnon-isospectral scattering problem
KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Transform methods (e.g., integral transforms) applied to PDEs (35A22)
Related Items (30)
On the similarity reduction solutions of the Bogoyavlenskii equation ⋮ “Riemann equations” in bidifferential calculus ⋮ Solutions of a Camassa-Holm hierarchy in \(2+1\) dimensions ⋮ On the dressing method in multidimension ⋮ Exact solutions of the Bogoyavlenskii equation using the multiple \((\frac{G'}{G})\)-expansion method ⋮ Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics ⋮ Moment modification, multipeakons, and nonisospectral generalizations ⋮ Generalized Qiao hierarchy in \(2+1\) dimensions: reciprocal transformations, spectral problem and non-isospectrality ⋮ The multicomponent discrete equation hierarchy with variable spectral parameters and a new integrable coupling system ⋮ Reciprocal transformations, Painlevé property and solutions of energy-dependent Schrödinger hierarchies. ⋮ Non-Isospectral 1+1 Hierarchies Arising from a Camassa Holm Hierarchy in 2+1 Dimensions ⋮ Multiple rogue wave and solitary solutions for the generalized BK equation via Hirota bilinear and SIVP schemes arising in fluid mechanics ⋮ Dynamical behavior of traveling wave solutions for a \((2+1)\)-dimensional Bogoyavlenskii coupled system ⋮ Breaking Waves and Spectral Analysis of the Two‐Dimensional KdV–Bogoyavlenskii Equation ⋮ Multidimensional hierarchies of (1+1)-dimensional integrable partial differential equations. Nonsymmetric ∂̄-dressing ⋮ Modified method of simplest equation and its applications to the Bogoyavlenskii equation ⋮ Dirichlet series and the integrability of multilinear differential equations ⋮ INTEGRABLE HAMILTONIAN HIERARCHIES ASSOCIATED WITH THE EQUATION OF HEAT CONDUCTION ⋮ The spectral problem and particular solutions to the \((2+1)\)-dimensional integrable generalization of the Camassa-Holm equation ⋮ Families of particular solutions to multidimensional partial differential equations ⋮ A Generalization of the Sine-Gordon Equation to 2 + 1 Dimensions ⋮ Two expanding integrable systems and quasi-Hamiltonian function associated with an equation hierarchy ⋮ Modified extended tanh-function method and its applications to the Bogoyavlenskii equation ⋮ A new multi-component integrable coupling and its application to isospectral and nonisospectral problems ⋮ Equations of the Camassa-Holm hierarchy ⋮ Application of Riemann-Hilbert method to an extended coupled nonlinear Schrödinger equations ⋮ Reciprocal link for \(2+1\)-dimensional extensions of shallow water equations ⋮ Symmetries of a Class of Nonlinear Fourth Order Partial Differential Equations ⋮ Nonisospectral scattering problems: A key to integrable hierarchies ⋮ Nonisospectral extension of Schur flow with determinant solution and orthogonal polynomials on the unit circle
This page was built for publication: Multicomponent equations associated to non-isospectral scattering problems
