dc.contributor.author Yuan, W. dc.contributor.author Wu, Yong Hong dc.contributor.author Chen, Q. dc.contributor.author Huang, Y. dc.date.accessioned 2017-01-30T13:16:49Z dc.date.available 2017-01-30T13:16:49Z dc.date.created 2014-06-12T20:00:23Z dc.date.issued 2014 dc.identifier.citation Yuan, W. and Wu, Y.H. and Chen, Q. and Huang, Y. 2014. All meromorphic solutions for two forms of odd order algebraic differential equations and its applications. Applied Mathematics and Computation. 240: pp. 240-251. dc.identifier.uri http://hdl.handle.net/20.500.11937/30020 dc.identifier.doi 10.1016/j.amc.2014.04.099 dc.description.abstract In this article, we employ the Nevanlinna’s value distribution theory to investigate the existence of meromorphic solutions of algebraic differential equations. We obtain the representations of all meromorphic solutions for two classes of odd order algebraic differential equations with the weak 〈 p , q 〉 and dominant conditions. Moreover, we give the complex method to find all traveling wave exact solutions of corresponding partial differential equations. As an example, we obtain all meromorphic solutions of some generalized Bretherton equations by using our complex method. Our results show that the complex method provides a powerful mathematical tool for solving great many nonlinear partial differential equations in mathematical physics, and using the traveling wave nobody can find other new exact solutions for many nonlinear partial differential equations by any method. dc.publisher Elsevier Inc. dc.subject Exact solution dc.subject Meromorphic function dc.subject Elliptic function dc.subject Differential equation dc.title All meromorphic solutions for two forms of odd order algebraic differential equations and its applications dc.type Journal Article dcterms.source.volume 240 dcterms.source.startPage 240 dcterms.source.endPage 251 dcterms.source.issn 0096-3003 dcterms.source.title Applied Mathematics and Computation curtin.department curtin.accessStatus Fulltext not available
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