Jacobi Elliptic Function solutions of K(n, n) - type equations

E. V. Krishnan; K. S. Al-Ghafri

doi:10.12988/ijma.2016.68101

Jacobi Elliptic Function solutions of K(n, n) - type equations

E. V. Krishnan^*, K. S. Al-Ghafri

^*Corresponding author for this work

Mathematics & Statistics

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

1 Citation (Scopus)

Abstract

In this paper, modified K(n, n) and K(n + 1, n + 1) equations have been solved using mapping methods which give a variety of solutions in terms of JEFs. The solutions when m → 0 and m → 1, with m as the modulus of the JEFs have also been deduced. The role of constraint conditions has been discussed.

Original language	English
Pages (from-to)	229-1243
Number of pages	1015
Journal	International Journal of Mathematical Analysis
Volume	10
Issue number	25-28
DOIs	https://doi.org/10.12988/ijma.2016.68101
Publication status	Published - 2016

Keywords

Compactons
Jacobi elliptic functions
Mapping methods
Solitary wave solutions
Travelling wave solutions

ASJC Scopus subject areas

Mathematics(all)

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10.12988/ijma.2016.68101

Cite this

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abstract = "In this paper, modified K(n, n) and K(n + 1, n + 1) equations have been solved using mapping methods which give a variety of solutions in terms of JEFs. The solutions when m → 0 and m → 1, with m as the modulus of the JEFs have also been deduced. The role of constraint conditions has been discussed.",

keywords = "Compactons, Jacobi elliptic functions, Mapping methods, Solitary wave solutions, Travelling wave solutions",

author = "Krishnan, {E. V.} and Al-Ghafri, {K. S.}",

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AU - Krishnan, E. V.

AU - Al-Ghafri, K. S.

PY - 2016

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N2 - In this paper, modified K(n, n) and K(n + 1, n + 1) equations have been solved using mapping methods which give a variety of solutions in terms of JEFs. The solutions when m → 0 and m → 1, with m as the modulus of the JEFs have also been deduced. The role of constraint conditions has been discussed.

AB - In this paper, modified K(n, n) and K(n + 1, n + 1) equations have been solved using mapping methods which give a variety of solutions in terms of JEFs. The solutions when m → 0 and m → 1, with m as the modulus of the JEFs have also been deduced. The role of constraint conditions has been discussed.

KW - Compactons

KW - Jacobi elliptic functions

KW - Mapping methods

KW - Solitary wave solutions

KW - Travelling wave solutions

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JF - International Journal of Mathematical Analysis

IS - 25-28

ER -

Jacobi Elliptic Function solutions of K(n, n) - type equations

Abstract

Keywords

ASJC Scopus subject areas

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