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Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a;

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Handbook of Exact Solutions for Ordinary Differential Equations

Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes;

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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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Handbook of First-Order Partial Differential Equations

This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear;

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Handbook of Ordinary Differential Equations

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for;

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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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H-Transforms

Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and;

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H-Transforms

Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and;

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Variational, Topological, and Partial Order Methods with Their Applications

Nonlinear functional analysis is an important branch of contemporary mathematics. It's related to topology, ordinary differential equations;

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Blow-Up in Nonlinear Equations of Mathematical Physics

The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations;

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Handbook of Integral Equations

adopt the requirement that the model integral equation admit a solution in a closed form. Exact solutions can be used to verify the consistency;

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Nonlinear Reaction-Diffusion-Convection Equations

Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and;

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Handbook of Integral Equations

Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains;

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Understanding the Schroedinger Equation

wavefunction formalism. The work is dedicated to providing an illustrative sketch of a few of the numerous and sundry aspects of the Schroedinger;

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Discrete And Continuous Nonlinear Schrodinger Systems

' and the associated development of a method of solution to a class of nonlinear wave equations termed the inverse scattering transform (IST;

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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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Analytical Solution Methods for Boundary Value Problems

quasi-linearization methods, operational calculus and spatial variable splitting to identify the exact and approximate analytical solutions;

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Lectures on nonlinear physics

The main goal of these lectures is to get students acquainted with a glossary of nonlinear physics. I try to present the material of the;

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Defocusing Nonlinear Schroedinger Equations

equations. This book is suitable as the basis for a one-semester course, and serves as a useful introduction to nonlinear Schroedinger equations for;

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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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Algebraic Approaches to Partial Differential Equations

This book presents the various algebraic techniques for solving partial differential equations to yield exact solutions, techniques;

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Harmonic Analysis Method For Nonlinear Evolution Equations, I

, nonlinear Klein-Gordon equations, KdV equations as well as Navier-Stokes equations and Boltzmann equations. The global wellposedness to the Cauchy;

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Nonlinear Partial Differential Equations

The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to 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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