Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

Browse

Filters

20132

Settings

Subject: search.filters.subject.First integral methodWoS Q: search.filters.wosQuartile.Q4

Search Results

Now showing 1 - 2 of 2
  • Article
    Citation - WoS: 1
    Citation - Scopus: 2
    Application of the Division Theorem To Nonlinear Physical Models for Constructing Traveling Waves
    (Politechnica University of Bucharest, 2013) Aslan, İsmail
    We extend the so-called first integral method, which is based on the division theorem, to the Sharma-Tasso-Olver equation and the (2+1)-dimensional modified Boussinesq equation. Our approach provides first integrals in polynomial form with a high accuracy for two-dimensional plane autonomous systems. Traveling wave solutions are constructed through the established first integrals.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 11
    Some Exact and Explicit Solutions for Nonlinear Schrödinger Equations
    (Polish Academy of Sciences, 2013) Aslan, İsmail
    Nonlinear models occur in many areas of applied physical sciences. This paper presents the first integral method to carry out the integration of Schrödinger-type equations in terms of traveling wave solutions. Through the established first integrals, exact traveling wave solutions are obtained under some parameter conditions.