2D solitons in Boussinesq equation with dissipation

Kyriakos Christou; Marios A. Christou

doi:10.1007/s40314-015-0239-y

2D solitons in Boussinesq equation with dissipation

Kyriakos Christou
, Marios A. Christou

Department of Computer Science

European University

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

Abstract

We investigate numerically the stationary solutions of 2D Boussinesq type wave equations with square and cubic nonlinearity. In the model equation dissipation is added and we investigate the physical properties of the problem. To investigate and study the problem we implement the Christov spectral technique in L²(- ∞, ∞). The method was found to be accurate and computationally efficient in other works of the author, mainly in 1D problems.

Original language	English
Pages (from-to)	513-523
Number of pages	11
Journal	Computational and Applied Mathematics
Volume	36
Issue number	1
DOIs	https://doi.org/10.1007/s40314-015-0239-y
Publication status	Published - 1 Mar 2017

Keywords

Boussinesq equations
Solitons
Spectral method

Access to Document

10.1007/s40314-015-0239-y

Cite this

@article{ffaa1d2abbef4faca7ea3d3bf7408753,

title = "2D solitons in Boussinesq equation with dissipation",

abstract = "We investigate numerically the stationary solutions of 2D Boussinesq type wave equations with square and cubic nonlinearity. In the model equation dissipation is added and we investigate the physical properties of the problem. To investigate and study the problem we implement the Christov spectral technique in L2(- ∞, ∞). The method was found to be accurate and computationally efficient in other works of the author, mainly in 1D problems.",

keywords = "Boussinesq equations, Solitons, Spectral method",

author = "Kyriakos Christou and Christou, \{Marios A.\}",

year = "2017",

month = mar,

day = "1",

doi = "10.1007/s40314-015-0239-y",

language = "English",

volume = "36",

pages = "513--523",

journal = "Computational and Applied Mathematics",

issn = "0101-8205",

publisher = "Springer Nature",

number = "1",

}

TY - JOUR

T1 - 2D solitons in Boussinesq equation with dissipation

AU - Christou, Kyriakos

AU - Christou, Marios A.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - We investigate numerically the stationary solutions of 2D Boussinesq type wave equations with square and cubic nonlinearity. In the model equation dissipation is added and we investigate the physical properties of the problem. To investigate and study the problem we implement the Christov spectral technique in L2(- ∞, ∞). The method was found to be accurate and computationally efficient in other works of the author, mainly in 1D problems.

AB - We investigate numerically the stationary solutions of 2D Boussinesq type wave equations with square and cubic nonlinearity. In the model equation dissipation is added and we investigate the physical properties of the problem. To investigate and study the problem we implement the Christov spectral technique in L2(- ∞, ∞). The method was found to be accurate and computationally efficient in other works of the author, mainly in 1D problems.

KW - Boussinesq equations

KW - Solitons

KW - Spectral method

UR - https://www.scopus.com/pages/publications/85013304819

U2 - 10.1007/s40314-015-0239-y

DO - 10.1007/s40314-015-0239-y

M3 - Article

AN - SCOPUS:85013304819

SN - 0101-8205

VL - 36

SP - 513

EP - 523

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 1

ER -

2D solitons in Boussinesq equation with dissipation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this