Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.
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3 of 17 people found the following review helpful:
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resoluton de l'equation de schrodinger,
By Tahouri Tahar (london) - See all my reviews
This review is from: Nonlinear Schroedinger Equations: Self-Focusing and Wave Collapse (Applied Mathematical Sciences/139) (Hardcover)
resolution de l"equation de schrodinger avec la methode des ondes planes et la methode de pseudo potentiel
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Inside This Book
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First Sentence:
The nonlinear Schrödinger (NLS) equation arises in various physical contexts in the description of nonlinear waves (Whitham 1974) such as propagation of a laser beam in a medium whose index of refraction is sensitive to the wave amplitude, water waves at the free surface of an ideal fluid, and plasma waves. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
dynamic resealing method, wave filamentation, supercritical dimensions, repulsive nonlinearity, subsonic limit, blowup solutions, isotropic collapse, variance identity, saturated nonlinearities, collapsing solutions, blowup point, radially symmetric solutions, rescaling method, convective dynamics, magnetosonic waves, critical collapse, carrying wave, initial electric field, wave collapse, strong collapse, side polarization, propagation coordinate, modulational instability, modulation equations, adiabatic dynamics Key Phrases - Capitalized Phrases (CAPs): (learn more)
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The nonlinear Schrödinger (NLS) equation arises in various physical contexts in the description of nonlinear waves (Whitham 1974) such as propagation of a laser beam in a medium whose index of refraction is sensitive to the wave amplitude, water waves at the free surface of an ideal fluid, and plasma waves. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
dynamic resealing method, wave filamentation, supercritical dimensions, repulsive nonlinearity, subsonic limit, blowup solutions, isotropic collapse, variance identity, saturated nonlinearities, collapsing solutions, blowup point, radially symmetric solutions, rescaling method, convective dynamics, magnetosonic waves, critical collapse, carrying wave, initial electric field, wave collapse, strong collapse, side polarization, propagation coordinate, modulational instability, modulation equations, adiabatic dynamics Key Phrases - Capitalized Phrases (CAPs): (learn more)
Korteweg-de Vries New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
This book cites 100
books:
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- Partial Differential Equations: Analytical Solution Techniques (Texts in Applied Mathematics) by J. Kevorkian in Front Matter, and Back Matter
- Nonlinear World by V. G. Bar'Yakhtar in Back Matter (1), and Back Matter (2)
- Periodic Motions (Applied Mathematical Sciences) by Miklos Farkas in Back Matter
- Lectures on Viscoelasticity Theory (Applied Mathematical Sciences) by A.C. Pipkin in Front Matter
- The Mathematical Theory of Dilute Gases (Applied Mathematical Sciences) by Carlo Cercignani in Back Matter
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