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Applications of Analytic and Geometric Methods to Nonlinear Differential Equations

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Cover of 'Applications of Analytic and Geometric Methods to Nonlinear Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 SDYM Hierarchies and Classical Soliton Systems
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    Chapter 2 Twistor Theory, Self-Duality and Integrability
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    Chapter 3 Twistor Theory and the Schlesinger Equations
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    Chapter 4 Soliton Equations and Connections with Self-Dual Curvature
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    Chapter 5 Smooth Static Solutions of the Einstein/Yang-Mills Equations
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    Chapter 6 Extended Structures in (2 + 1) Dimensions
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    Chapter 7 Null Reductions of the Yang-Mills Self-Duality Equations and Integrable Models in (2 + l)-Dimensions
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    Chapter 8 Continuous and Discrete SDYM, and Reductions
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    Chapter 9 Rapidly Forced Burgers Equation
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    Chapter 10 Nonlinear Evolution Equations from an Inverse Spectral Problem
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    Chapter 11 Universal Integrable Nonlinear PDEs
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    Chapter 12 Construction of Reflectionless Potentials with Infinitely Many Discrete Eigenvalues
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    Chapter 13 Coupling of Completely Integrable Systems: The Perturbation Bundle
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    Chapter 14 The Negative Weight KP Hierarchy
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    Chapter 15 The Complete Solution to the Constant Quantum Yang-Baxter Equation in Two Dimensions
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    Chapter 16 Stimulated Raman Scattering: An Integrable System Which Blows up in Finite Time
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    Chapter 17 Integrabile Quantum Mappings and Quantization Aspects of Integrable Discrete-Time Systems
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    Chapter 18 Darboux Transformations in (2 + 1)-Dimensions
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    Chapter 19 Darboux Theorems and the KP Hierarchy
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    Chapter 20 Localized Soliton Solutions for the Davey-Stewartson I and Davey-Stewartson III Equations
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    Chapter 21 On Gasdynamic-Solitonic Connections
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    Chapter 22 Integrable Cellular Automata and Integrable Algebraic and Functional Equations
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    Chapter 23 Classical Differential Geometry and Integrability of Systems of Hydrodynamic Type
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    Chapter 24 On the Elliptic 2 + 1 Toda Equation
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    Chapter 25 Canonical Bilinear Systems and Soliton Resonances
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    Chapter 26 A Perturbative Extension of the Painlevé Test
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    Chapter 27 Exact Solutions to the Complex Ginzburg-Landau Equation from a Linear System
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    Chapter 28 Generalised Solutions of the Perturbed KdV Equation for Convecting Fluids
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    Chapter 29 Modified Singular Manifold Expansion: Application to the Boussinesq and Mikhailov-Shabat Systems
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    Chapter 30 Discrete Painlevé Equations: Derivation and Properties
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    Chapter 31 A Study of the Fourth Painlevé Equation
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    Chapter 32 A Local Asymptotic Method of Seeing the Natural Barrier of the Solutions of the Chazy Equation
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    Chapter 33 Rational Solutions and Bäcklund Transformations for the Third Painlevé Equation
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    Chapter 34 Some Extensions of the Truncation Process in Painlevé Analysis
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    Chapter 35 Potential Symmetries and Linearization
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    Chapter 36 Nonclassical Symmetry Reductions and Exact Solutions of Nonlinear Reaction-Diffusion Equations
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    Chapter 37 Boundary Conditions on Similarity Solutions
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    Chapter 38 Symmetry Reductions and Exact Solutions of the Davey-Stewartson System
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    Chapter 39 Dimensional Reduction for Equations Involving Discrete and Continuous Variables
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    Chapter 40 Symmetry Reductions and Exact Solutions for a Generalised Boussinesq Equation
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    Chapter 41 Continuous Symmetries and Painlevé Reduction of the Kac-Van Moerbeke Equation
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    Chapter 42 A New Approach to the Search for Analytical Solutions of Second order Autonomous Nonlinear Differential Equations
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Title
Applications of Analytic and Geometric Methods to Nonlinear Differential Equations
Published by
Springer Netherlands, December 2012
DOI 10.1007/978-94-011-2082-1
ISBNs
978-9-40-112082-1, 978-9-40-104924-5
Editors

Clarkson, Peter A.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 12 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Spain 1 8%
Unknown 11 92%

Demographic breakdown

Readers by professional status Count As %
Researcher 4 33%
Student > Ph. D. Student 3 25%
Student > Master 2 17%
Unspecified 1 8%
Professor 1 8%
Other 0 0%
Unknown 1 8%
Readers by discipline Count As %
Physics and Astronomy 4 33%
Engineering 3 25%
Mathematics 2 17%
Earth and Planetary Sciences 1 8%
Unspecified 1 8%
Other 0 0%
Unknown 1 8%