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Evolution equations [Nonlinear ] --- Niet-lineaire golven --- Nonlinear waves --- Ondes non linéaires
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Ondes --- Ondes non linéaires --- Waves --- Nonlinear waves --- Propagation --- Ondes non linéaires
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Matter physics --- Plasma physics --- Mathematical physics --- Thermodynamics --- Fluid mechanics --- Solitons. --- Chaotic behavior in systems. --- Nonlinear waves. --- Solitons --- Chaos --- Ondes non linéaires --- Ondes non linéaires
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Wave-motion, Theory of --- Differential equations, Nonlinear --- Asymptotic theory --- -Wave-motion, Theory of --- Undulatory theory --- Mechanics --- Nonlinear differential equations --- Nonlinear theories --- Wave-motion, Theory of. --- Asymptotic theory. --- Asymptotic theory in nonlinear differential equations --- Asymptotic expansions --- Ondes --- Ondes non linéaires --- Waves --- Nonlinear waves --- Propagation --- Ondes non linéaires. --- Waves. --- Differential equations, Nonlinear - Asymptotic theory --- Physique mathematique --- Perturbations singulieres --- Equations aux derivees partielles
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Ondes --- Ondes non linéaires. --- Waves. --- Nonlinear waves --- Equations aux derivees partielles hyperboliques --- Physique mathematique --- Propagation --- Equations aux derivees partielles --- Equations aux derivees partielles hyperboliques --- Physique mathematique --- Equations aux derivees partielles
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Partial differential equations --- Mathematical physics --- Wave equation --- Solitons --- Equations d'onde --- Numerical solutions --- Solutions numériques --- Nonlinear wave equations --- 517.988 --- 517.988 Nonlinear functional analysis and approximation methods --- Nonlinear functional analysis and approximation methods --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of --- Numerical analysis --- Solitons. --- Numerical solutions. --- Solutions numériques --- Ondes --- Waves --- Ondes non linéaires --- Nonlinear waves --- Propagation --- Ondes non linéaires. --- Waves. --- Nonlinear wave equations - Numerical solutions --- Equations aux derivees partielles non lineaires --- Equation des ondes --- Equation --- Physique quantique
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Nonlinear waves --- Stratified flow --- Ondes non linéaires --- 535.12 --- Wave theory (Huyghens, Fresnel). Wavelength. Frequency. Wave number --- 535.12 Wave theory (Huyghens, Fresnel). Wavelength. Frequency. Wave number --- Ondes non linéaires --- Flow, Stratified --- Aerodynamics --- Fluid dynamics --- Hydrodynamics --- Nonlinear theories --- Wave-motion, Theory of --- Waves
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Differential equations, Hyperbolic --- Nonlinear waves --- Singularities (Mathematics) --- Wave equation --- Ondes non linéaires --- Singularités (Mathématiques) --- Equations d'onde --- Numerical solutions --- Solutions numériques --- 517.95 --- -Nonlinear waves --- -#KVIV:BB --- Differential equations, Partial --- Wave-motion, Theory of --- Geometry, Algebraic --- Nonlinear theories --- Waves --- Hyperbolic differential equations --- Partial differential equations --- 517.95 Partial differential equations --- #KVIV:BB --- Numerical analysis --- Analyse microlocale --- Equations aux derivees partielles non lineaires
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"The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science"--
Wave equation --- Nonlinear waves --- Solitons --- Asymptotic expansions --- Equation d'onde --- Ondes non linéaires --- Développements asymptotiques --- Wave equation. --- Nonlinear waves. --- Solitons. --- Asymptotic expansions. --- Ondes non linéaires --- Développements asymptotiques --- Differential equations, Partial --- Wave-motion, Theory of --- Asymptotic developments --- Asymptotes --- Convergence --- Difference equations --- Divergent series --- Functions --- Numerical analysis --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Nonlinear theories --- Waves
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Solitons. --- Chaotic behavior in systems. --- Nonlinear waves. --- Nonlinear waves --- Ondes non linéaires --- Ondes non linéaires --- Matter physics --- Plasma physics --- Mathematical physics --- Thermodynamics --- Fluid mechanics --- Solitons --- Chaotic behavior in systems --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Wave-motion, Theory of --- Waves --- Chaos
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