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

problem's solution in the semiclassical regime and explicit integration for the underlying nonlinear, elliptic, partial differential equations;

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Hamiltonian Methods in the Theory of Solitons

consistent Hamiltonian approach to the theory. The nonlinear Schroedinger equation is considered as a main example, forming the first part of the;

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Understanding the Schroedinger Equation

of nonlinear water waves. A chapter which investigates wave solutions of the generalized nonlinear time-dependent Schroedinger-like equation;

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Variational Methods in Nonlinear Field Equations

authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell;

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Lectures on nonlinear physics

variables; solution of nonlinear elliptic equations considering the Liouville equation; soliton solutions of the Korteweg de Vries, Sine-Gordon and;

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Invariant Measures for Stochastic Nonlinear Schroedinger Equations

-symplecticity for nonlinear Schroedinger equations and their numerical approximations, and studies the properties and convergence errors of numerical;

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Discrete And Continuous Nonlinear Schrodinger Systems

and discrete nonlinear Schroedinger equations of scalar and vector type. Also included is the IST for the Toda lattice and nonlinear ladder;

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Electrical Solitons

The dominant medium for soliton propagation in electronics, nonlinear transmission line (NLTL) has found wide application as a testbed for;

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Introduction to non-Kerr Law Optical Solitons

. After an introduction to the basic features of fiber-optic communications, the book outlines the nonlinear Schroedinger equation (NLSE;

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Nonlinear Diffusive Waves

phenomena, for instance, in nonlinear acoustics, laser physics, plasmas and atmospheric physics. The Burgers equation also has mathematical interest;

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The Discrete Nonlinear Schroedinger Equation

-Landautheoryofsuperconductivityandtheord- parameter descriptions of super uidity, the soliton revolution through the works of Zabusky and Kruskal on the KdV equation and the;

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Nonlinear Partial Differential Equations

, Boltzmann equation, and critical dispersive nonlinear Schroedinger and wave equations. The book describes in a careful and expository manner several;

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Effective Evolution Equations from Quantum Dynamics

approximated by means of the nonlinear Gross-Pitaevskii equation. Section 6 addresses fermionic systems (characterized by antisymmetric wave functions;

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Localization In Periodic Potentials

the existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schroedinger equations;

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Nonlinear Analysis and Global Optimization

, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items;

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Dynamics of a Mode-Locked Fiber Laser containing a Long-Period Grating

was conducted. The model was based on the complex Ginzburg-Landau equation and the nonlinear coupled mode equations of the grating. The numerical;

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Dispersive Equations and Nonlinear Waves

equation. The energy-critical nonlinear Schroedinger equation, global solutions to the defocusing problem, and scattering are the focus of the;

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Semi-classical Analysis For Nonlinear Schrodinger Equations

These lecture notes review recent results on the high-frequency analysis of nonlinear Schroedinger equations in the presence of an external;

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Solitons

Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory;

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London Mathematical Society Lecture Note Series

-Gordon equation and Backlund transformations are treated. The book will be useful for research workers who wish to learn about solitons as well;

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Discrete Variational Derivative Method

: Conservative equations such as the Korteweg-de Vries equation (shallow water waves) and the nonlinear Schroedinger equation (optical waves;

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Molecular Vibrations

This book focuses on the main idea that highly-excited molecular vibration is a nonlinear, many-body and semiclassical system. Therefore;

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Glimpses of Soliton Theory

Solitons are explicit solutions to nonlinear partial differential equations exhibiting particle-like behavior. This is quite surprising;

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Solitons in Two-Dimensional Shallow Water

is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to;

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Nonlinear Fractional Schroedinger Equations in R^N

investigates the existence, multiplicity and qualitative properties of solutions for fractional Schroedinger equations by applying suitable variational;

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Nonlinear Adiabatic Evolution of Quantum Systems

nonlinear Schroedinger equation. The key points in this book include the adiabatic condition and adiabatic invariant for nonlinear system; the;

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Wigner Measure and Semiclassical Limits of Nonlinear Schrodinger Equations

This book is based on a course entitled 'Wigner measures and semiclassical limits of nonlinear Schrodinger equations,' which the author;

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