Applicability of the variation of action method to some one-field solitons

Journal Article · Sat Sep 01 04:00:00 EDT 1979 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524299· OSTI ID:5876825

Laedke, E W; Spatschek, K H

The applicability of the widely used method of variation of action is discussed by investigating the transverse stability of the kink solution of the nonlinear Schroedinger equation and the bell solution of the Kadomtsev--Petviashvili equation. An exact calculation shows that neither instability nor stability can be predicted correctly by the variation of action method. The reasons for that defect are discussed and the correct stability regions are presented.

• Research Organization: Fachbereich Physik Universitaet Essen D-4300 Essen, Federal Republic of Germany
• OSTI ID: 5876825
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 20:9; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
EQUATIONS
FUNCTIONALS
FUNCTIONS
INSTABILITY GROWTH RATES
KORTEWEG-DE VRIES EQUATION
NONLINEAR PROBLEMS
QUASI PARTICLES
SCHROEDINGER EQUATION
SOLITONS
STABILITY
VARIATIONAL METHODS
WAVE EQUATIONS