Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Inverse scattering and the boussinesq equation - MaRDI portal

Inverse scattering and the boussinesq equation

From MaRDI portal
Publication:3937097

DOI10.1002/cpa.3160350502zbMath0479.35074OpenAlexW2069497453MaRDI QIDQ3937097

Carlos Tomei, Eugene Trubowitz, Percy A. Deift

Publication date: 1982

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160350502



Related Items

ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY, Stability, instability and interaction of solitary pulses in a composite medium, An existence theory for water waves and the boussinesq and korteweg-devries scaling limits, Blow-up of solutions for improved Boussinesq type equation, Long-time asymptotics of the good Boussinesq equation with q xx-term and its modified version, An integrable semi-discretization of the Boussinesq equation, Explicit solutions for a semidiscrete Boussinesq system, The inverse problem method on the half-line and a nested system of Riccati equations, The "good" Boussinesq equation: a Riemann-Hilbert approach, Attractors and their stability on Boussinesq type equations with gentle dissipation, Generalizations of the Neumann system, The Boussinesq equation revisited, Linear stability of exact solutions for the generalized Kaup-Boussinesq equation and their dynamical evolutions, On the Lagrangian version of the Korteweg capillarity system: integrability aspects, Traveling solitary wave solutions to the generalized Boussinesq equation, Forced nonlinear oscillations of elastic membranes, Formation of the undular bores in shallow water generalized Kaup-Boussinesq model, Generalizations of the neumann system a curve theoretical approach-part II, Well-posedness for the Cauchy problem associated to a periodic Boussinesq equation, Longtime dynamics of the damped Boussinesq equation, Well-posedness of the ``good Boussinesq equation in analytic Gevrey spaces and time regularity, Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background, Quasi-periodic solutions of a discrete integrable equation with a finite-dimensional integrable symplectic structure, Application of tetragonal curves to coupled Boussinesq equations, Extended KP equation and solutions with special properties, Linear differential operators with distribution coefficients of various singularity orders, Refined long time existence of the Boussinesq equation with large initial data in \(\mathbb{R}^n\), Action-angle variables for the Lie-Poisson Hamiltonian systems associated with Boussinesq equation, The ``good Boussinesq equation: long-time asymptotics, Über das homogene Dirichlet-Problem bei nichtlinearen partiellen Differentialgleichungen vom Typ der Boussinesq-Gleichung, Blowup of solutions for the bad Boussinesq-type equation., Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation, Local well-posedness for the sixth-order Boussinesq equation, Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs, Exact boundary controllability for the Boussinesq equation with variable coefficients, Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation, On quasi-periodic solutions for a generalized Boussinesq equation, Third-order operators with three-point conditions associated with Boussinesq's equation, An inverse scattering scheme for the regularized long-wave equation, Cauchy problem for the multi-dimensional Boussinesq type equation, On the spectrum of odd order self-adjoint ordinary differential operators on the real line with quasi-periodic coefficients, The inverse problem for some special spectral data, On the Blow-up of Certain Solutions of the “Good” Boussinesq Equation, Painlevé analysis, soliton molecule, and lump solution of the higher-order Boussinesq equation, Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing, Global existence and blow up for damped generalized Boussinesq equation, A class of model equations for bi-directional propagation of capillary-gravity waves, Existence and non-existence of global solutions to a generalized modification of the improved Boussinesq equation, On bidirectional fifth-order nonlinear evolution equations, Lax pairs, and directionally dependent solitary waves, Spectral asymptotics for the third order operator with periodic coefficients, New exact solutions of the Boussinesq equation, On the spatially two-dimensional Boussinesq equation in a circular domain, The Bäcklund transformations and abundant explicit exact solutions for the AKNS-SWW equation, Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions, Asymptotic behavior of solutions of the nonlinear string equation for large times, Decay estimates for a dissipative-dispersive linear semigroup and application to the viscous Boussinesq equation, Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs, Approach in theory of nonlinear evolution equations: the Vakhnenko-Parkes equation, Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source, Global Existence and Decay for Solutions to the “Bad” Boussinesq Equation in Two Space Dimensions, Resonances of third order differential operators, Inverse Scattering and the Bäcklund Transformation for the Generalized Wave and Generalized Sine‐Gordon Equations, The degenerate breather solutions for the Boussinesq equation, Inverse problems of spectral analysis for differential operators and their applications, An update of a Bäcklund transformation and its applications to the Boussinesq system, An inverse problem for operators of a triangular structure, A numerical study of an ill-posed Boussinesq equation arising in water and nonlinear lattices: Filtering and regularization techniques, Solution of the Boussinesq equation using evolutionary vessels, RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION, Some useful filtering techniques for illposed problems, Spatially discrete Boussinesq equation: integrability, Darboux transformation, exact solutions and continuum limit, On local existence of solutions of initial boundary value problems for the ``bad Boussinesq-type equation, Nonclassical symmetry reductions of the Boussinesq equation, Symmetries of a Class of Nonlinear Fourth Order Partial Differential Equations, The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method., Nonclassical symmetry reductions of nonlinear partial differential equations, The Cauchy problem for the nonlinear viscous Boussinesq equation in the \(L^q\) framework



Cites Work