Linear And Nonlinear Wave Propagation
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A01=Spencer P Kuo
Author_Spencer P Kuo
Backlund Transform
BAfA?cklund Transform
Bistate Oscillator
Burgers Equation
Bäcklund Transform
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Chaos
Cole-Hopf Transformation
Collapse of Nonlinear Waves
Conservation Laws
Deterministic
Diffusion Equation
Duffing Oscillator
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Fourier Transform
Galilean Invariance
Gelfand-Levitan-Marchenko Integral Equation
Hamilton's Equation of Motion
Hamiltonian
Impulse Response
Inverse Scattering Transform (IST)
Korteweg-de Vries (K-dV) Equation
Lagrangian
Langmuir Collapse
Lax Pair
Linear Waves
Method of Characteristics
Miura Transformation
Mode
Mode Coupling
Mode Method
Nonlinear Diffusion
Nonlinear Schrodinger Equation
Nonlinear Waves
PoincarAfA(C) Section
Poincare Section
Poincaré Section
Pulse Propagation
Quasi-Linear Diffusion
Ray Tracing
Ray Trajectory
Renormalization
Resonance Broadening
Scaling Symmetry
Solitary Wave
Soliton
Space-Time Duality
Transfer Function
Turbulence
Van der Pol Oscillator
Variance Identity
Variational Principle
Virial Theorem
Vlasov-Poisson System
Wave Propagation
Wave-Particle Interaction
Wave-Wave Interaction
Wentze1-Kramer-Bri1louin (WKB)
Product details
- ISBN 9789811231636
- Publication Date: 30 Apr 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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Waves are essential phenomena in most scientific and engineering disciplines, such as electromagnetism and optics, and different mechanics including fluid, solid, structural, quantum, etc. They appear in linear and nonlinear systems. Some can be observed directly and others are not. The features of the waves are usually described by solutions to either linear or nonlinear partial differential equations, which are fundamental to the students and researchers.Generic equations, describing wave and pulse propagation in linear and nonlinear systems, are introduced and analyzed as initial/boundary value problems. These systems cover the general properties of non-dispersive and dispersive, uniform and non-uniform, with/without dissipations. Methods of analyses are introduced and illustrated with analytical solutions. Wave-wave and wave-particle interactions ascribed to the nonlinearity of media (such as plasma) are discussed in the final chapter.This interdisciplinary textbook is essential reading for anyone in above mentioned disciplines. It was prepared to provide students with an understanding of waves and methods of solving wave propagation problems. The presentation is self-contained and should be read without difficulty by those who have adequate preparation in classic mechanics. The selection of topics and the focus given to each provide essential materials for a lecturer to cover the bases in a linear/nonlinear wave course.
