In this paper we obtain travelling wave solutions of nonlinear partial differential equations starting from a different reducible hyperelliptic equation as an auxiliary equation which does not appear in any other paper. We point out that all the 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 the genus one.
Brugarino, T., Sciacca, M. (2008). Travelling wave solutions of nonlinear equations using the Auxiliary Equation Method. IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 123, 161-180 [10.1393/ncb/i2008-10549-y].
Travelling wave solutions of nonlinear equations using the Auxiliary Equation Method
BRUGARINO, Tommaso;SCIACCA, Michele
2008-01-01
Abstract
In this paper we obtain travelling wave solutions of nonlinear partial differential equations starting from a different reducible hyperelliptic equation as an auxiliary equation which does not appear in any other paper. We point out that all the 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 the genus one.
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