Sharper criteria for the wave collapse

E.A. Kuznetsov; J. Juul Rasmussen; K. Rypdal; S.K. Turitsyn

doi:10.1016/0167-2789(95)00150-3

Sharper criteria for the wave collapse

E.A. Kuznetsov, J. Juul Rasmussen, K. Rypdal, S.K. Turitsyn

Research output: Contribution to journal › Conference article › Research › peer-review

Abstract

Sharper criteria for three-dimensional wave collapse described by the Nonlinear Schrodinger Equation (NLSE) are derived. The collapse threshold corresponds to the ground state soliton which is known to be unstable. Thus, for nonprefocusing distributions this represents the separatrix between collapsing and noncollapsing sectors. Numerical results support the theoretical results. Generalizations of the criteria for the NLSE with arbitrary power nonlinearity are also presented.

Original language	English
Journal	Physica D: Nonlinear Phenomena
Volume	87
Issue number	1-4
Pages (from-to)	273-284
ISSN	0167-2789
DOIs	https://doi.org/10.1016/0167-2789(95)00150-3
Publication status	Published - 1995
Event	International Workshop on Nonlinear Schroedinger Equation: Achievements, developments, perspectives - Chernogolovka, Russian Federation Duration: 25 Jul 1994 → 3 Aug 1994

Workshop

Workshop	International Workshop on Nonlinear Schroedinger Equation
Country/Territory	Russian Federation
City	Chernogolovka
Period	25/07/1994 → 03/08/1994

Access to Document

10.1016/0167-2789(95)00150-3

OpenUrl availability

Full text

Cite this

@inproceedings{db6f9c14ab30477a8ffccc4ee769d581,

title = "Sharper criteria for the wave collapse",

abstract = "Sharper criteria for three-dimensional wave collapse described by the Nonlinear Schrodinger Equation (NLSE) are derived. The collapse threshold corresponds to the ground state soliton which is known to be unstable. Thus, for nonprefocusing distributions this represents the separatrix between collapsing and noncollapsing sectors. Numerical results support the theoretical results. Generalizations of the criteria for the NLSE with arbitrary power nonlinearity are also presented. ",

keywords = "Energimaterialer og ny energiteknologi",

author = "E.A. Kuznetsov and {Juul Rasmussen}, J. and K. Rypdal and S.K. Turitsyn",

year = "1995",

doi = "10.1016/0167-2789(95)00150-3",

language = "English",

volume = "87",

pages = "273--284",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier",

number = "1-4",

note = "International Workshop on Nonlinear Schroedinger Equation : Achievements, developments, perspectives, NLS-94 ; Conference date: 25-07-1994 Through 03-08-1994",

}

TY - GEN

T1 - Sharper criteria for the wave collapse

AU - Kuznetsov, E.A.

AU - Juul Rasmussen, J.

AU - Rypdal, K.

AU - Turitsyn, S.K.

PY - 1995

Y1 - 1995

N2 - Sharper criteria for three-dimensional wave collapse described by the Nonlinear Schrodinger Equation (NLSE) are derived. The collapse threshold corresponds to the ground state soliton which is known to be unstable. Thus, for nonprefocusing distributions this represents the separatrix between collapsing and noncollapsing sectors. Numerical results support the theoretical results. Generalizations of the criteria for the NLSE with arbitrary power nonlinearity are also presented.

AB - Sharper criteria for three-dimensional wave collapse described by the Nonlinear Schrodinger Equation (NLSE) are derived. The collapse threshold corresponds to the ground state soliton which is known to be unstable. Thus, for nonprefocusing distributions this represents the separatrix between collapsing and noncollapsing sectors. Numerical results support the theoretical results. Generalizations of the criteria for the NLSE with arbitrary power nonlinearity are also presented.

KW - Energimaterialer og ny energiteknologi

U2 - 10.1016/0167-2789(95)00150-3

DO - 10.1016/0167-2789(95)00150-3

M3 - Conference article

SN - 0167-2789

VL - 87

SP - 273

EP - 284

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-4

T2 - International Workshop on Nonlinear Schroedinger Equation

Y2 - 25 July 1994 through 3 August 1994

ER -

Sharper criteria for the wave collapse

Abstract

Workshop

Access to Document

OpenUrl availability

Fingerprint

Cite this