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
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Princeton, NJ, : Princeton University Press, c2003 | ||
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Lo trovi qui: Univ. Federico II | ||
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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)
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Princeton, N.J., : Princeton University Press, 2007 | ||
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Lo trovi qui: Univ. Federico II | ||
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