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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 | ||
| ||
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-9910822848003321 |
|
Kamvissis Spyridon
|
||
| Princeton, NJ, : Princeton University Press, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||