Solitons and nonlinear wave equations

Book · Fri Jan 01 04:00:00 EST 1982

OSTI ID:6349564

Dodd, Roger K; Eilbeck, J Chris; Gibbon, John D; Morris, Hedley C

A discussion of the theory and applications of classical solitons is presented with a brief treatment of quantum mechanical effects which occur in particle physics and quantum field theory. The subjects addressed include: solitary waves and solitons, scattering transforms, the Schroedinger equation and the Korteweg-de Vries equation, and the inverse method for the isospectral Schroedinger equation and the general solution of the solvable nonlinear equations. Also considered are: isolation of the Korteweg-de Vries equation in some physical examples, the Zakharov-Shabat/AKNS inverse method, kinks and the sine-Gordon equation, the nonlinear Schroedinger equation and wave resonance interactions, amplitude equations in unstable systems, and numerical studies of solitons. 45 references.

• OSTI ID: 6349564
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
KORTEWEG-DE VRIES EQUATION
MECHANICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA WAVES
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUASI PARTICLES
RESONANCE
SCHROEDINGER EQUATION
SOLITONS
WAVE EQUATIONS