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The Direct Methods in Soliton Theory

The bilinear, or Hirota's direct, method was invented in the early 1970s as an elementary means of constructing soliton solutions that;

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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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Hamiltonian Methods in the Theory of Solitons

The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its;

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Classical Field Theory

of the classical equations, in particular soliton solutions.;

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Solitons, Nonlinear Evolution Equations and Inverse Scattering

several aspects of soliton theory currently only available in research papers. Emphasis is given to the multi-dimensional problems arising and;

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Spectral Methods in Quantum Field Theory

In this monograph we apply scattering theory methods to calculations in quantum ?eld theory, with a particular focus on properties of the;

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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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Nonlinear Evolution Equations & Soliton Solutions

This book studies the methods for solving non-linear, partial differential equations that have physical meaning, and soliton theory with;

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Cambridge Texts in Applied Mathematics

This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory;

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B Cklund and Darboux Transformations

This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory;

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Solitons and Instantons

This book offers an elementary and unified introduction to the non-perturbative results obtained in relativistic quantum field theory based;

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Glimpses of Soliton Theory

communication networks. `Glimpses of Soliton Theory' addresses some of the hidden mathematical connections in soliton theory which have been revealed;

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Chaos in Partial Differential Equations

phenomenon. Recently, the author and his collaborators have established a systematic theory on chaos in nonlinear wave equations: a standard program;

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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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Gauge Fields

This book focuses on the methods applied in the field theory of relativistic strings, which represent a direct generalization of the;

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Optical Solitons in Non-linear Micro Ring Resonators

have shown the interesting results that the non-linear property of light pulse, especially, an optical soliton, can be probed into the specific;

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Introduction to the Mathematical Physics of Nonlinear Waves

Nonlinear physics is a well-established discipline in physics today, and this book offers a comprehensive account of the basic soliton;

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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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Backlund and Darboux Transformations

Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts;

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Discrete And Continuous Nonlinear Schrodinger Systems

theory; soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Much of the material is not available;

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Gravitational Solitons

This 2001 book gives a self-contained exposition of the theory of gravitational solitons and provides a comprehensive review of exact;

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Gravitational Solitons

This 2001 book gives a self-contained exposition of the theory of gravitational solitons and provides a comprehensive review of exact;

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Soliton Coding for Secured Optical Communication Link

. This Brief highlights the design of a system of MRRs to generate a series of logic codes. An optical soliton is used to generate an entangled;

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Cambridge Monographs on Mathematical Physics

-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and;

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Soliton Equations And Their Algebro-Geometric Solutions: Vol

solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied;

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Theory Of Scattering For Quasifree Particles, A

In this book, the author presents the theory of quasifree quantum fields and argues that they could provide non-zero scattering for some;

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The Verdier Memorial Conference on Integrable Systems

role of the bihamiltonian formalism in the theory of soliton equations. The two papers in the third part deal with the theory of two;

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