Spectral Theory of Solitons on a Generic Background for the KPI Equation (original) (raw)
Related papers
Extended resolvent and inverse scattering with an application to KPI
F. Pempinelli, Андрей Погребков
Journal of Mathematical Physics, 2003
N-wave soliton solution on a generic background for KPI equation
Андрей Погребков, F. Pempinelli
International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367), 1999
Physics Today, 1982
Basic aspects of soliton theory
2006
Inverse Scattering Transform, KdV, and Solitons
Current Trends in Operator Theory and its Applications, 2004
Extended resolvent approach to Inverse Scattering in multidimensions
Algebraic and analytic aspects of soliton type equations
Journal of Mathematical Analysis and Applications, 2018
Soliton solutions with real poles in the Alekseev formulation of the inverse-scattering method
Classical and Quantum Gravity, 2000
Inverse Scattering Transform and the Theory of Solitons
Encyclopedia of Complexity and Systems Science, 2009
Generalised Fourier transform and perturbations to soliton equations
Discrete & Continuous Dynamical Systems - B, 2009
Classification of the line-soliton solutions of KPII
Journal of Physics A: Mathematical and Theoretical, 2008
2020
Bright and dark soliton solutions for the variable coefficient generalizations of the KP equation
2012
Inverse scattering theory of the heat equation for a perturbed one-soliton potential
Journal of Mathematical Physics, 2002
New Types of Soliton Solutions
Bulletin of the American Mathematical Society, 1992
On Kaup-Kupershchmidt type equations and their soliton solutions
arXiv (Cornell University), 2017
IST of KPII equation for perturbed multisoliton solutions
Towards an inverse scattering theory for non-decaying potentials of the heat equation
Андрей Погребков, F. Pempinelli
Inverse Problems, 2001
Soliton Solutions of the KP Equation and Application to Shallow Water Waves
Studies in Applied Mathematics, 2009
arXiv: Exactly Solvable and Integrable Systems, 2018
Inverse scattering transform for the perturbed 1-soliton potential of the heat equation
F. Pempinelli, Андрей Погребков
Physics Letters A, 2001
Eigenfunctions and Eigenvalues for a Scalar Riemann-Hilbert Problem Associated to Inverse Scattering
Communications in Mathematical Physics, 2000
On the initial-boundary value problems for soliton equations
Journal of Experimental and Theoretical Physics Letters, 2001
On Soliton Equations with and Reductions: Conservation Laws and Generating Operators
2013
From single- to multiple-soliton solutions of the perturbed KdV equation
Multiple-kink-soliton solutions of the nonlinear Schrödinger equation
Il Nuovo Cimento B, 1981
Canonical structure of soliton equations via isospectral eigenvalue problems
Il Nuovo Cimento B, 1984
An Introduction to Wave Equations and Solitons
Scattering of localized solitons in the plane
Physics Letters A, 1988
Solitons and other solutions to the quantum Zakharov-Kuznetsov equation
Reflective prolate-spheroidal operators and the KP/KdV equations
Proceedings of the National Academy of Sciences, 2019
Quantum scattering of solitons
Nuclear Physics B, 1976
Quantized representation for Kadomtsev-Petviashvili equation on thesoliton sector
Journal of Mathematical Physics