Evolution of solitonless wave packets in the nonlinear Schroedinger equation and the Korteweg-de Vries equation with dissipative perturbations

Journal Article · Fri May 01 04:00:00 EDT 1987 · Theor. Math. Phys.; (United States)

OSTI ID:5825835

Malomed, B A

The nonlinear Schroedinger equation with attraction and with repulsion (NSE(+) and NSE(-)) and the Korteweg-de Vries equation, and also the sine-Gordon equation are considered with small dissipative perturbations. For the case when the nonlinear and spatially inhomogeneous (diffusion) dissipations are dominant, explicit solutions are obtained that in the logarithmic approximation at sufficiently large times express the local amplitude and population number of the solitonless wave packet in terms of the initial data. For NSE(+), the singular case of a wave packet near the threshold of soliton creation is also considered.

• OSTI ID: 5825835
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 69:2; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645400 -- High Energy Physics-- Field Theory
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
DIFFERENTIAL EQUATIONS
DIFFUSION
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
KORTEWEG-DE VRIES EQUATION
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
QUASI PARTICLES
SCHROEDINGER EQUATION
SINE-GORDON EQUATION
SOLITONS
SUPERCONDUCTIVITY
WAVE EQUATIONS
WAVE PACKETS