Solitons and other solutions to Wu–Zhang system

Mohammad Mirzazadeh, Mehmet Ekici, Mostafa Eslamic, Edamana Vasudevan Krishnan, Sachin Kumar, Anjan Biswas

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves, and singular solitary waves solutions. Subsequently, Lie group formalism is also applied to derive symmetries of the Wu–Zhang system, and the derived ordinary differential equations are further analyzed to retrieve exact solutions are obtained. Finally, implementation of mapping method secures additional exact solutions.

Original languageEnglish
Pages (from-to)441-458
Number of pages18
JournalNonlinear Analysis: Modelling and Control
Volume22
Issue number4
DOIs
Publication statusPublished - 2017

Fingerprint

Solitons
Exact Solution
Lie groups
Solitary Wave Solution
Solitary Waves
Shock Waves
Ordinary differential equations
Shock waves
Ordinary differential equation
Symmetry

Keywords

  • Extended trial equation method
  • Lie symmetry analysis
  • Mapping method
  • Wu–Zhang system

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Solitons and other solutions to Wu–Zhang system. / Mirzazadeh, Mohammad; Ekici, Mehmet; Eslamic, Mostafa; Krishnan, Edamana Vasudevan; Kumar, Sachin; Biswas, Anjan.

In: Nonlinear Analysis: Modelling and Control, Vol. 22, No. 4, 2017, p. 441-458.

Research output: Contribution to journalArticle

Mirzazadeh, M, Ekici, M, Eslamic, M, Krishnan, EV, Kumar, S & Biswas, A 2017, 'Solitons and other solutions to Wu–Zhang system', Nonlinear Analysis: Modelling and Control, vol. 22, no. 4, pp. 441-458. https://doi.org/10.15388/NA.2017.4.2
Mirzazadeh, Mohammad ; Ekici, Mehmet ; Eslamic, Mostafa ; Krishnan, Edamana Vasudevan ; Kumar, Sachin ; Biswas, Anjan. / Solitons and other solutions to Wu–Zhang system. In: Nonlinear Analysis: Modelling and Control. 2017 ; Vol. 22, No. 4. pp. 441-458.
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