Exact solutions for Ostrovsky equation

A. Biswas; E. V. Krishnan

doi:10.1007/s12648-011-0169-5

Exact solutions for Ostrovsky equation

A. Biswas^*, E. V. Krishnan

^*Corresponding author for this work

Mathematics & Statistics

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

30 Citations (Scopus)

Abstract

This paper obtains solutions to the Ostrovsky equation by employing the mapping method. Several solutions are determined including the cnoidal waves, shock waves, solitary waves, periodic singular waves and others in the case of no rotation. Finally, the ansatz method is applied to solve the equation with the rotation term present.

Original language	English
Pages (from-to)	1513-1521
Number of pages	9
Journal	Indian Journal of Physics
Volume	85
Issue number	10
DOIs	https://doi.org/10.1007/s12648-011-0169-5
Publication status	Published - Oct 2011

Keywords

Integrability
Mapping method
Solitons

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1007/s12648-011-0169-5

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title = "Exact solutions for Ostrovsky equation",

abstract = "This paper obtains solutions to the Ostrovsky equation by employing the mapping method. Several solutions are determined including the cnoidal waves, shock waves, solitary waves, periodic singular waves and others in the case of no rotation. Finally, the ansatz method is applied to solve the equation with the rotation term present.",

keywords = "Integrability, Mapping method, Solitons",

author = "A. Biswas and Krishnan, {E. V.}",

year = "2011",

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language = "English",

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AU - Biswas, A.

AU - Krishnan, E. V.

PY - 2011/10

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N2 - This paper obtains solutions to the Ostrovsky equation by employing the mapping method. Several solutions are determined including the cnoidal waves, shock waves, solitary waves, periodic singular waves and others in the case of no rotation. Finally, the ansatz method is applied to solve the equation with the rotation term present.

AB - This paper obtains solutions to the Ostrovsky equation by employing the mapping method. Several solutions are determined including the cnoidal waves, shock waves, solitary waves, periodic singular waves and others in the case of no rotation. Finally, the ansatz method is applied to solve the equation with the rotation term present.

KW - Integrability

KW - Mapping method

KW - Solitons

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M3 - Article

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SN - 0973-1458

VL - 85

SP - 1513

EP - 1521

JO - Indian Journal of Physics

JF - Indian Journal of Physics

IS - 10

ER -

Exact solutions for Ostrovsky equation

Abstract

Keywords

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