ON EXISTENCE OF PERIODIC SOLUTIONS OF THE KDV TYPE EQUATION

Talaibek M. IMANALİEV

Article Details

ON EXISTENCE OF PERIODIC SOLUTIONS OF THE KDV TYPE EQUATION

Authors:

Talaibek M. IMANALİEV

Publisher:

Turkic World Mathematical Society

Journal:

TWMS Journal of Applied and Engineering Mathematics 2011 Vol.01 Issue 2, pp.167-172

Document Type:

Article

Publication Date:

11/2011

Document Language:

English

Document ID (Org No.):

2000746317

Frequency:

Monthly

eISSN:

2587-1013

pISSN:

2146-1147

Abstract:

 

We prove the existence of the periodic solutions of the KDV type of equation  with respect to time variable with periodic external force. Using the integral substitution  we reduce the original equation to the integral equation. The existence of the unique  solution of the equation is proved by the fixed point theorem. Thus we show that the  solitons are periodic in time as well as in space dimension.

Article Details

ON EXISTENCE OF PERIODIC SOLUTIONS OF THE KDV TYPE EQUATION

Authors: Talaibek M. IMANALİEV

Publisher: Turkic World Mathematical Society

Journal: TWMS Journal of Applied and Engineering Mathematics 2011 Vol.01 Issue 2, pp.167-172

Document Type: Article

Publication Date: 11/2011

Document Language: English

Document ID (Org No.): 2000746317

Frequency: Monthly

eISSN: 2587-1013

pISSN: 2146-1147

Issues

Authors:

Talaibek M. IMANALİEV

Publisher:

Turkic World Mathematical Society

Journal:

TWMS Journal of Applied and Engineering Mathematics 2011 Vol.01 Issue 2, pp.167-172

Document Type:

Article

Publication Date:

11/2011

Document Language:

English

Document ID (Org No.):

2000746317

Frequency:

Monthly

eISSN:

2587-1013

pISSN:

2146-1147