The Boussinesq equation revisited

L. V. Bogdanov; V. E. Zakharov

doi:10.1016/S0167-2789(02)00380-9

The Boussinesq equation revisited

L. V. Bogdanov, V. E. Zakharov

Mathematics

Research output: Contribution to journal › Article › peer-review

62 Scopus citations

Abstract

The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂̄-dressing method. Solitons demonstrate quite extraordinary behavior; they may decay or form a singularity in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered several years ago. Systematic study of the solitonic sector is presented.

Original language	English (US)
Pages (from-to)	137-162
Number of pages	26
Journal	Physica D: Nonlinear Phenomena
Volume	165
Issue number	3-4
DOIs	https://doi.org/10.1016/S0167-2789(02)00380-9
State	Published - May 15 2002

Keywords

Collapse
Dressing method
Integrable equations
Nonlinear waves
Solitons

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Access to Document

10.1016/S0167-2789(02)00380-9

Cite this

@article{3c2d6c64a57c4c8ea3137f7769f9111c,

title = "The Boussinesq equation revisited",

abstract = "The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the {\=∂}-dressing method. Solitons demonstrate quite extraordinary behavior; they may decay or form a singularity in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered several years ago. Systematic study of the solitonic sector is presented.",

keywords = "Collapse, Dressing method, Integrable equations, Nonlinear waves, Solitons",

author = "Bogdanov, {L. V.} and Zakharov, {V. E.}",

year = "2002",

month = may,

day = "15",

doi = "10.1016/S0167-2789(02)00380-9",

language = "English (US)",

volume = "165",

pages = "137--162",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier B.V.",

number = "3-4",

}

TY - JOUR

T1 - The Boussinesq equation revisited

AU - Bogdanov, L. V.

AU - Zakharov, V. E.

PY - 2002/5/15

Y1 - 2002/5/15

N2 - The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂̄-dressing method. Solitons demonstrate quite extraordinary behavior; they may decay or form a singularity in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered several years ago. Systematic study of the solitonic sector is presented.

AB - The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂̄-dressing method. Solitons demonstrate quite extraordinary behavior; they may decay or form a singularity in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered several years ago. Systematic study of the solitonic sector is presented.

KW - Collapse

KW - Dressing method

KW - Integrable equations

KW - Nonlinear waves

KW - Solitons

UR - http://www.scopus.com/inward/record.url?scp=0037092882&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037092882&partnerID=8YFLogxK

U2 - 10.1016/S0167-2789(02)00380-9

DO - 10.1016/S0167-2789(02)00380-9

M3 - Article

AN - SCOPUS:0037092882

SN - 0167-2789

VL - 165

SP - 137

EP - 162

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 3-4

ER -

The Boussinesq equation revisited

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this