SOLITARY WAVES AND BIFURCATION ANALYSIS OF THE K(M, N) EQUATION WITH GENERALIZED EVOLUTION TERM

M. Mirzazadeh; Essaid Zerrad; Daniela Milovic; Anjan Biswas

Journal article

SOLITARY WAVES AND BIFURCATION ANALYSIS OF THE K(M, N) EQUATION WITH GENERALIZED EVOLUTION TERM

M. Mirzazadeh, Essaid Zerrad, Daniela Milovic and Anjan Biswas

Proceedings of the Romanian Academy. Series A Mathematics, Physics, Technical Sciences, Information Science, Vol.17(3), pp.215-221

01/07/2016

Abstract

Multidisciplinary Sciences

Science & Technology

Science & Technology - Other Topics

The bifurcation analysis of the K (m, n) equation, which serves as a generalized model for the Korteweg-de Vries equation describing the dynamics of shallow water waves on ocean beaches and lake shores, is carried out in this paper. The phase portraits are given and solitary wave solutions are obtained. Singular periodic wave solutions are also given in this work.

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Title: SOLITARY WAVES AND BIFURCATION ANALYSIS OF THE K(M, N) EQUATION WITH GENERALIZED EVOLUTION TERM
Creators - without role: M. Mirzazadeh - University of Guilan
Essaid Zerrad - Delaware State University
Daniela Milovic - University of Nis
Anjan Biswas - Delaware State University
Publication Details: Proceedings of the Romanian Academy. Series A Mathematics, Physics, Technical Sciences, Information Science, Vol.17(3), pp.215-221
Publisher: Editura Acad Romane
Number of pages: 7
Grant note: III 44006; TR-32051 / Ministry of Education, Science, and Technological Development of Republic of Serbia
Identifiers: 9939141308331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article