Travelling wave solutions of nonlinear equations using the Auxiliary Equation Method

Michele Sciacca; Tommaso Brugarino

Travelling wave solutions of nonlinear equations using the Auxiliary Equation Method

Risultato della ricerca: Article › peer review

Abstract

In this paper we obtain travelling wave solutions of nonlinear partialdifferential equations starting from a different reducible hyperelliptic equation as anauxiliary equation which does not appear in any other paper. We point out that allthe cases, to our knowledge, considered in the literature are included in this paper,so our work exhausts all the reducible cases of the hyperelliptic equation to thegenus one.

Lingua originale	English
pagine (da-a)	161-180
Numero di pagine	20
Rivista	IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS
Volume	123
Stato di pubblicazione	Published - 2008

All Science Journal Classification (ASJC) codes

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abstract = "In this paper we obtain travelling wave solutions of nonlinear partialdifferential equations starting from a different reducible hyperelliptic equation as anauxiliary equation which does not appear in any other paper. We point out that allthe cases, to our knowledge, considered in the literature are included in this paper,so our work exhausts all the reducible cases of the hyperelliptic equation to thegenus one.",

author = "Michele Sciacca and Tommaso Brugarino",

year = "2008",

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AU - Sciacca, Michele

AU - Brugarino, Tommaso

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AB - In this paper we obtain travelling wave solutions of nonlinear partialdifferential equations starting from a different reducible hyperelliptic equation as anauxiliary equation which does not appear in any other paper. We point out that allthe cases, to our knowledge, considered in the literature are included in this paper,so our work exhausts all the reducible cases of the hyperelliptic equation to thegenus one.

UR - http://hdl.handle.net/10447/35710

M3 - Article

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SP - 161

EP - 180

JO - Nuovo Cimento della Societa Italiana di Fisica B

JF - Nuovo Cimento della Societa Italiana di Fisica B

SN - 1594-9982

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