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

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

doi:10.1016/S0375-9601(02)00180-9

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

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

Mathematics And Statistics

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

290 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.

Original language	English
Pages (from-to)	280-286
Number of pages	6
Journal	Physics Letters A
Volume	295
Issue number	5-6
DOIs	https://doi.org/10.1016/S0375-9601(02)00180-9
Publication status	Published - Apr 2002

Keywords

Jacobi elliptic function
nonlinear evolution equation
periodic-wave solution

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10.1016/S0375-9601(02)00180-9

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title = "The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations",

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.",

keywords = "Jacobi elliptic function, nonlinear evolution equation, periodic-wave solution",

author = "E.J. Parkes and B.R. Duffy and P.C. Abbott",

year = "2002",

month = apr,

doi = "10.1016/S0375-9601(02)00180-9",

language = "English",

volume = "295",

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journal = "Physics Letters A",

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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.

PY - 2002/4

Y1 - 2002/4

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

UR - http://www.maths.strath.ac.uk/~caas35/pd&aPLA02.pdf

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

U2 - 10.1016/S0375-9601(02)00180-9

DO - 10.1016/S0375-9601(02)00180-9

M3 - Article

SN - 0375-9601

VL - 295

SP - 280

EP - 286

JO - Physics Letters A

JF - Physics Letters A

IS - 5-6

ER -

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

Abstract

Keywords

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