Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    All meromorphic solutions for two forms of odd order algebraic differential equations and its applications

    Access Status
    Fulltext not available
    Authors
    Yuan, W.
    Wu, Yong Hong
    Chen, Q.
    Huang, Y.
    Date
    2014
    Type
    Journal Article
    
    Metadata
    Show full item record
    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.
    Source Title
    Applied Mathematics and Computation
    DOI
    10.1016/j.amc.2014.04.099
    ISSN
    0096-3003
    URI
    http://hdl.handle.net/20.500.11937/30020
    Collection
    • Curtin Research Publications
    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.

    Related items

    Showing items related by title, author, creator and subject.

    • All meromorphic solutions of an ordinary differential equation and its applications
      Yuan, W.; Meng, F.; Lin, J.; Wu, Yong Hong (2016)
      In this paper, we employ the complex method to obtain all meromorphic solutions of an auxiliary ordinary differential equation at first and then find out all meromorphic exact solutions of the combined KdV-mKdV equation ...
    • All meromorphic solutions of an auxiliary ordinary differential equation and its applications
      Yuan, W.; Xiong, W.; Lin, J.; Wu, Yong Hong (2015)
      In this paper, we first employ the complex method to deritive all meromorphic solutions of an auxiliary ordinary differential equation, and then find all meromorphic exact solutions of the modified ZK equation, modified ...
    • Meromorphic solutions of a class of algebraic differential equations related to Painlevé equation III
      Gu, Y.; Aminakbari, N.; Yuan, W.; Wu, Yong Hong (2017)
      © 2017 University of Houston. In this paper, the complex method is employed to derive mero-morphic solutions to a class of algebraic differential equations related to Painlevé equation III, and then we illustrate our main ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.