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Nonlinear Partial Differential Equations for Scientists and Engineers

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Cover of 'Nonlinear Partial Differential Equations for Scientists and Engineers'

Table of Contents

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    Book Overview
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    Chapter 1 Linear Partial Differential Equations
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    Chapter 2 Nonlinear Model Equations and Variational Principles
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    Chapter 3 First-Order, Quasi-linear Equations and Method of Characteristics
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    Chapter 4 First-Order Nonlinear Equations and Their Applications
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    Chapter 5 Conservation Laws and Shock Waves
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    Chapter 6 Kinematic Waves and Real-World Nonlinear Problems
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    Chapter 7 Nonlinear Dispersive Waves and Whitham’s Equations
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    Chapter 8 Nonlinear Diffusion–Reaction Phenomena
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    Chapter 9 Solitons and the Inverse Scattering Transform
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    Chapter 10 The Nonlinear Schrödinger Equation and Solitary Waves
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    Chapter 11 Nonlinear Klein–Gordon and Sine-Gordon Equations
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    Chapter 12 Asymptotic Methods and Nonlinear Evolution Equations
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    Chapter 13 Tables of Integral Transforms
Attention for Chapter 2: Nonlinear Model Equations and Variational Principles
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