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Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
Autore Kamvissis Spyridon
Edizione [Course Book]
Pubbl/distr/stampa Princeton, NJ, : Princeton University Press, c2003
Descrizione fisica 1 online resource (280 p.)
Disciplina 530.12/4
Altri autori (Persone) McLaughlinK. T-R <1969-> (Kenneth T-R)
MillerPeter D <1967-> (Peter David)
Collana Annals of mathematics studies
Soggetto topico Schrodinger equation
Wave mechanics
Soggetto non controllato Abelian integral
Analytic continuation
Analytic function
Ansatz
Approximation
Asymptote
Asymptotic analysis
Asymptotic distribution
Asymptotic expansion
Banach algebra
Basis (linear algebra)
Boundary (topology)
Boundary value problem
Bounded operator
Calculation
Cauchy's integral formula
Cauchy's integral theorem
Cauchy's theorem (geometry)
Cauchy–Riemann equations
Change of variables
Coefficient
Complex plane
Cramer's rule
Degeneracy (mathematics)
Derivative
Diagram (category theory)
Differentiable function
Differential equation
Differential operator
Dirac equation
Disjoint union
Divisor
Eigenfunction
Eigenvalues and eigenvectors
Elliptic integral
Energy minimization
Equation
Euler's formula
Euler–Lagrange equation
Existential quantification
Explicit formulae (L-function)
Fourier transform
Fredholm theory
Function (mathematics)
Gauge theory
Heteroclinic orbit
Hilbert transform
Identity matrix
Implicit function theorem
Implicit function
Infimum and supremum
Initial value problem
Integrable system
Integral curve
Integral equation
Inverse problem
Jacobian matrix and determinant
Kerr effect
Laurent series
Limit point
Line (geometry)
Linear equation
Linear space (geometry)
Logarithmic derivative
Lp space
Minor (linear algebra)
Monotonic function
Neumann series
Normalization property (abstract rewriting)
Numerical integration
Ordinary differential equation
Orthogonal polynomials
Parameter
Parametrix
Paraxial approximation
Parity (mathematics)
Partial derivative
Partial differential equation
Perturbation theory (quantum mechanics)
Perturbation theory
Pole (complex analysis)
Polynomial
Probability measure
Quadratic differential
Quadratic programming
Radon–Nikodym theorem
Reflection coefficient
Riemann surface
Simultaneous equations
Sobolev space
Soliton
Special case
Taylor series
Theorem
Theory
Trace (linear algebra)
Upper half-plane
Variational method (quantum mechanics)
Variational principle
WKB approximation
ISBN 1-299-44345-1
1-4008-3718-9
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Figures and Tables -- Preface -- Chapter 1. Introduction and Overview -- Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons -- Chapter 3. Semiclassical Soliton Ensembles -- Chapter 4. Asymptotic Analysis of the Inverse Problem -- Chapter 5. Direct Construction of the Complex Phase -- Chapter 6. The Genus - Zero Ansatz -- Chapter 7. The Transition to Genus Two -- Chapter 8. Variational Theory of the Complex Phase -- Chapter 9. Conclusion and Outlook -- Appendix A. H¨older Theory of Local Riemann-Hilbert Problems -- Appendix B. Near-Identity Riemann-Hilbert Problems in L2 -- Bibliography -- Index
Record Nr. UNINA-9910791959003321
Kamvissis Spyridon  
Princeton, NJ, : Princeton University Press, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach
Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach
Autore Roach G. F (Gary Francis)
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2007
Descrizione fisica 1 online resource (300 p.)
Disciplina 531/.1133
Collana Princeton series in applied mathematics
Soggetto topico Waves - Mathematics
Scattering (Physics) - Mathematics
Perturbation (Mathematics)
Soggetto non controllato Acoustic wave equation
Acoustic wave
Affine space
Angular frequency
Approximation
Asymptotic analysis
Asymptotic expansion
Banach space
Basis (linear algebra)
Bessel's inequality
Boundary value problem
Bounded operator
C0-semigroup
Calculation
Characteristic function (probability theory)
Classical physics
Codimension
Coefficient
Continuous function (set theory)
Continuous function
Continuous spectrum
Convolution
Differentiable function
Differential equation
Dimension (vector space)
Dimension
Dimensional analysis
Dirac delta function
Dirichlet problem
Distribution (mathematics)
Duhamel's principle
Eigenfunction
Eigenvalues and eigenvectors
Electromagnetism
Equation
Existential quantification
Exponential function
Floquet theory
Fourier inversion theorem
Fourier series
Fourier transform
Fredholm integral equation
Frequency domain
Helmholtz equation
Hilbert space
Initial value problem
Integral equation
Integral transform
Integration by parts
Inverse problem
Inverse scattering problem
Lebesgue measure
Linear differential equation
Linear map
Linear space (geometry)
Locally integrable function
Longitudinal wave
Mathematical analysis
Mathematical physics
Metric space
Operator theory
Ordinary differential equation
Orthonormal basis
Orthonormality
Parseval's theorem
Partial derivative
Partial differential equation
Phase velocity
Plane wave
Projection (linear algebra)
Propagator
Quantity
Quantum mechanics
Reflection coefficient
Requirement
Riesz representation theorem
Scalar (physics)
Scattering theory
Scattering
Scientific notation
Self-adjoint operator
Self-adjoint
Series expansion
Sine wave
Spectral method
Spectral theorem
Spectral theory
Square-integrable function
Subset
Theorem
Theory
Time domain
Time evolution
Unbounded operator
Unitarity (physics)
Vector space
Volterra integral equation
Wave function
Wave packet
Wave propagation
ISBN 1-282-15878-3
9786612158780
1-4008-2816-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index
Record Nr. UNINA-9910778218403321
Roach G. F (Gary Francis)  
Princeton, N.J., : Princeton University Press, 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui