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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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Introduction to non-Kerr Law Optical Solitons

multiple-scale perturbation theory. The book explores intra-channel collision of optical solitons in both Hamiltonian and non-Hamiltonian type;

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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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Variational Methods in Nonlinear Field Equations

abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the;

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Line Integral Methods for Conservative Problems

theory. The book also covers the application of HBVMs to handle the numerical solution of Hamiltonian partial differential equations (PDEs) and;

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Line Integral Methods for Conservative Problems

theory. The book also covers the application of HBVMs to handle the numerical solution of Hamiltonian partial differential equations (PDEs) and;

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Construction of Mappings for Hamiltonian Systems and Their Applications

systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical;

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Introduction to Hamiltonian Fluid Dynamics and Stability Theory

of hydrodynamic stability theory within the context of the Hamiltonian formalism. The author uses the example of the nonlinear pendulum-giving a thorough;

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Introduction to Hamiltonian Fluid Dynamics and Stability Theory

of hydrodynamic stability theory within the context of the Hamiltonian formalism. The author uses the example of the nonlinear pendulum-giving a thorough;

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Mathematical Methods of Classical Mechanics

theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows;

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Mathematical Methods of Classical Mechanics

theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows;

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The Verdier Memorial Conference on Integrable Systems

of the hierarchies of Hamiltonian systems and topological field theory are shown to be strongly interrelated. In the overview that introduces;

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Group Theoretical Methods in Physics. Volume II

, containing over 100 papers, cover such areas as representation theory, the theory and applications of dynamical symmetries and coherent states;

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Morse Theory for Hamiltonian Systems

results that, until now, have appeared only in scattered journals. Morse Theory for Hamiltonian Systems provides a detailed description of the;

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Morse Theory for Hamiltonian Systems

results that, until now, have appeared only in scattered journals. Morse Theory for Hamiltonian Systems provides a detailed description of the;

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Mathematical Methods of Classical Mechanics

in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the;

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Differential Galois Theory and Non-Integrability of Hamiltonian Systems

prerequisite subjects [differential Galois theory and Hamiltonian dynamical systems], the author has provided a logically accessible account of a;

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Generalized Hamiltonian Formalism For Field Theory

In the framework of the geometric formulation of field theory, classical fields are represented by sections of fibred manifolds, and their;

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Optical Solitons

will introduce the fundamental concepts of the theory of nonlinear waves and solitons in non-integrated but physically realistic models;

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Electrical Solitons

Theory, Design, and Applications is the first text to focus specifically on KdV solitons in the nonlinear transmission line. Divided into three;

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Linear Port-Hamiltonian Systems on Infinite-Dimensional Spaces

This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port;

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Geometric Numerical Integration

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds;

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Geometric Numerical Integration

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds;

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Strain Solitons in Solids; How to Construct Them

Although the theory behind solitary waves of strain shows that they hold significant promise in nondestructive testing and a variety;

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Analytical Mechanics

Analytical mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has;

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Optical Solitons

phenomenon. Since then the theory of optical solitons as well as their experimental investigation has progressed rapidly. The effects;

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Green's Function Estimates for Lattice Schroedinger Operators and Applications. (AM-158)

theory of quasi-periodicity in Hamiltonian evolution equations. The physical motivation of these models extends back to the works of Rudolph;

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