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Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations

Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations is devoted to inverse scattering problems (ISPs) for;

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Solitons, Nonlinear Evolution Equations and Inverse Scattering

Solitons have been of considerable interest to mathematicians since their discovery by Kruskal and Zabusky. This book brings together;

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Nonlinear Wave Equations

equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the;

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Solitons

methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors;

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Solitons, Instantons, and Twistors

examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear;

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Nonlinear Waves

application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research;

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Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations

. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be;

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Hamiltonian Methods in the Theory of Solitons

The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its;

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Discrete And Continuous Nonlinear Schrodinger Systems

' and the associated development of a method of solution to a class of nonlinear wave equations termed the inverse scattering transform (IST;

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Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the;

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Adjoint Equations and Perturbation Algorithms in Nonlinear Problems

nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the;

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Inverse Spectral Problems for Linear Differential Operators and Their Applications

Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on;

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A Qualitative Approach to Inverse Scattering Theory

scattering approximations as well as the strong a priori information needed in order to implement nonlinear optimization techniques. These new;

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A Qualitative Approach to Inverse Scattering Theory

scattering approximations as well as the strong a priori information needed in order to implement nonlinear optimization techniques. These new;

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Forward and Inverse Scattering Algorithms based on Contrast Source Integral Equations

A guide to wave-field computational methods based on contrast source type of integral equations Forward and Inverse Scattering;

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Implicit Fractional Differential and Integral Equations

This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and;

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Maxwell's Equations

This volume collects longer articles on the analysis and numerics of Maxwell's equations. The topics include functional analytic and;

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Methods for Solving Inverse Problems in Mathematical Physics

of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear;

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An Introduction to the Mathematical Theory of Inverse Problems

, system identification, nondestructive testing, and ultrasonic tomography. It aims to expose the basic notions and difficulties encountered with;

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An Introduction to the Mathematical Theory of Inverse Problems

, system identification, nondestructive testing, and ultrasonic tomography. It aims to expose the basic notions and difficulties encountered with;

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Semiclassical Soliton Ensembles for the Focusing Nonlinear Schroedinger Equation (AM-154)

nonlinear elliptic partial differential equations, and to set forth a detailed, pointwise asymptotic description of the violent oscillations that;

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Direct and Inverse Sturm-Liouville Problems

This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville;

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Dispersive Equations and Nonlinear Waves

estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili;

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Qualitative Methods in Inverse Scattering Theory

not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and;

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Lie Algebras, Geometry, and Toda-Type Systems

further applications to integrable nonlinear systems. Chapter 3 contains a derivation of Toda type systems and their general solutions based on;

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Geometry and Integrability

Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially;

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Inverse Problems in Quantum Scattering Theory

amplitude from the cross section are presented. The methods often apply to other fields, e. g. applied mathematics and geophysics. The book will;

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