Classification of q(t)=P(x, t, q, q(x), q(xx))

Satir A.

STUDIES IN APPLIED MATHEMATICS, vol.102, no.2, pp.205-219, 1999 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 102 Issue: 2
  • Publication Date: 1999
  • Doi Number: 10.1111/1467-9590.00109
  • Journal Name: STUDIES IN APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.205-219
  • Middle East Technical University Affiliated: No

Abstract

The classification of q(t) = P(x,t,q,q(x),q(xx)) is given by using linearization. Two types of integrable equations which are generalizations of the integrable equations of Fokas and Svinolupov are given. Results are compared with Fokas's symmetry and the Mikhailov-Shabat-Sokolov formal symmetry approaches.