The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

E.J. Parkes, B.R. Duffy, P.C. Abbott

Research output: Contribution to journalArticle

220 Citations (Scopus)

Abstract

The sn- and cn-function methods for finding nonsingular periodic-wave solutions to nonlinear evolution equations are described in a form suitable for automation, where sn and cn are the elliptic Jacobi snoidal and cnoidal functions, respectively. Some new solutions are presented.
LanguageEnglish
Pages280-286
Number of pages6
JournalPhysics Letters A
Volume295
Issue number5-6
DOIs
Publication statusPublished - Apr 2002

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nonlinear evolution equations
elliptic functions
automation

Keywords

  • Jacobi elliptic function
  • nonlinear evolution equation
  • periodic-wave solution

Cite this

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abstract = "The sn- and cn-function methods for finding nonsingular periodic-wave solutions to nonlinear evolution equations are described in a form suitable for automation, where sn and cn are the elliptic Jacobi snoidal and cnoidal functions, respectively. Some new solutions are presented.",
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The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations. / Parkes, E.J.; Duffy, B.R.; Abbott, P.C.

In: Physics Letters A, Vol. 295, No. 5-6, 04.2002, p. 280-286.

Research output: Contribution to journalArticle

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T1 - The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

AU - Parkes, E.J.

AU - Duffy, B.R.

AU - Abbott, P.C.

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N2 - The sn- and cn-function methods for finding nonsingular periodic-wave solutions to nonlinear evolution equations are described in a form suitable for automation, where sn and cn are the elliptic Jacobi snoidal and cnoidal functions, respectively. Some new solutions are presented.

AB - The sn- and cn-function methods for finding nonsingular periodic-wave solutions to nonlinear evolution equations are described in a form suitable for automation, where sn and cn are the elliptic Jacobi snoidal and cnoidal functions, respectively. Some new solutions are presented.

KW - Jacobi elliptic function

KW - nonlinear evolution equation

KW - periodic-wave solution

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UR - http://dx.doi.org/10.1016/S0375-9601(02)00180-9

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