Solutions to the Zakharov-Kuznetsov Equation with Higher Order Nonlinearity by Mapping and Ansatz Methods

E. V. Krishnan, A. Biswas

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

Solutions to the Zakharov-Kuznetsov equation with higher order nonlinearity are obtained using the mapping method. Several solutions are determined inclusing the cnoidal waves, shock waves, solitary waves, periodic singular waves and others. Finally, the ansatz method is applied to solve the equation with power law nonlinearity. It has been proved that the shock waves or topological solitons exist only for specific values of the power law parameter.

Original languageEnglish
Pages (from-to)256-261
Number of pages6
JournalPhysics of Wave Phenomena
Volume18
Issue number4
DOIs
Publication statusPublished - Dec 2010

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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