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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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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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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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Invariant Measures for Stochastic Nonlinear Schroedinger Equations

This book provides some recent advance in the study of stochastic nonlinear Schroedinger equations and their numerical approximations;

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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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The Discrete Nonlinear Schroedinger Equation

nonlinear equations have an inherent ability to exhibit both coherence and chaos - the beginnings of our appreciation today of spatio-temporal;

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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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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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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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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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Lectures on nonlinear physics

Nonlinear Schroedinger equations; the use of the Backlund transformation; self-similarity of nonlinear systems.;

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Discrete-Time Inverse Optimal Control for Nonlinear Systems

trajectory tracking of discrete-time nonlinear systems. This avoids the need to solve the associated Hamilton-Jacobi-Bellman equation and minimizes a;

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Discrete-Time Inverse Optimal Control for Nonlinear Systems

trajectory tracking of discrete-time nonlinear systems. This avoids the need to solve the associated Hamilton-Jacobi-Bellman equation and minimizes a;

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The Painleve Handbook

differential equations. It is illustrated with integrable equations such as the nonlinear Schroedinger equation, the Korteweg-de Vries equation, Henon;

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The Painleve Handbook

differential equations. It is illustrated with integrable equations such as the nonlinear Schroedinger equation, the Korteweg-de Vries equation, Henon;

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Variational Methods in Nonlinear Field Equations

equations, nonlinear Schroedinger-Maxwell equations, nonlinear beam equation,..). The abstract theory is sufficiently flexible to be applied to;

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Discrete Mechanics

of accumulation of constraints and the hypothesis of the duality of physical actions. These principles make it possible to establish the equation;

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Nonlinear Fractional Schroedinger Equations in R^N

in the field of nonlocal PDEs. This is the first book to approach fractional nonlinear Schroedinger equations by applying variational and;

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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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Blow-Up in Nonlinear Equations of Mathematical Physics

. Sveshnikov Nonlinear Schroedinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations;

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Handbook of Exact Solutions to the Nonlinear Schroedinger Equations

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Handbook of Exact Solutions to the Nonlinear Schroedinger Equations

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Geometric Optics for Surface Waves in Nonlinear Elasticity

This work is devoted to the analysis of high frequency solutions to the equations of nonlinear elasticity in a half-space. The authors;

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Bifurcation and Stability in Nonlinear Discrete Systems

in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems;

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A Student's Guide to the Schroedinger Equation

mathematical techniques used to solve the Schroedinger equation and to analyze the resulting wave functions. Retaining the popular approach used;

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Markov Processes and Quantum Theory

. Implying that the Schroedinger equation is a complex-valued evolution equation and the Schroedinger function is a complex-valued evolution function;

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