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Soliton Equations And Their Algebro-Geometric Solutions: Vol

formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities;

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Soliton Equations and Their Algebro-Geometric Solutions

The focus of this book is on algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1;

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Glimpses of Soliton Theory

pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation;

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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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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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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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Rogue Waves

bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are;

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The Verdier Memorial Conference on Integrable Systems

contains seven papers, the emphasis is on the algebro-geometric methods and the tau-functions. Essential use of Riemann surfaces and their theta;

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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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Pade Methods for Painleve Equations

, algebro-geometric methods, and others. Among them, the Pade method explained in this book provides a simple approach to those equations in both;

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Classical Field Theory

opposed to applications or geometric properties. Other fields covered includes fermionic fields, scalar fields and Chern-Simons fields. Methods;

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Cambridge Monographs on Mathematical Physics

comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first;

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Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

book is useful to researchers, teachers, students and engineers who are interested in Geometric Integrators and their long-time behaviour;

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Pacific Journal of Applied Mathematics Yearbook

schrodinger equations; geometric aspects of sturm-liouville problems; soliton perturbation theory for the generalised equal width equation; general;

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An Introduction to Differential Equations and Their Applications

explanations that appeal to readers' physical and geometric intuition.Starting with an introduction to differential equations, the text proceeds;

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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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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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Chaos in Partial Differential Equations

. isospectral theory for soliton equations under periodic boundary condition, 3. persistence of invariant manifolds and Fenichel fibers, 4. Melnikov;

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Solitons, Nonlinear Evolution Equations and Inverse Scattering

Solitons have been of considerable interest to mathematicians since their discovery by Kruskal and Zabusky. This book brings together;

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Geometric Partial Differential Equations

conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction;

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Handbook of Geometric Analysis, No. 1

in geometric analysis, with their applications to related fields. It can be used as a reference by graduate students and by researchers in related;

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Real Solutions to Equations from Geometry

solutions, lower bounds on the number of real solutions, and geometric problems that can have all solutions be real. The book begins with an;

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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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Geometric Numerical Integration

designed integrators, as well as discusses their construction and practical merits. The long-time behavior of the numerical solutions is studied;

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Geometric Numerical Integration

designed integrators, as well as discusses their construction and practical merits. The long-time behavior of the numerical solutions is studied;

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Hyperbolic Partial Differential Equations and Geometric Optics

book are nonlinear geometric optics, the asymptotic analysis of short wavelength solutions, and nonlinear interaction of such waves. Studied;

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