Sayed, S. M.; Elkholy, A. M.; Gharib, G. M. Exact solutions and conservation laws for Ibragimov-Shabat equation which describe pseudo-spherical surface. (English) Zbl 1157.35474 Comput. Appl. Math. 27, No. 3, 305-318 (2008). Summary: Travelling wave solution for Ibragimov-Shabat equation is obtained by using an improved sine-cosine method and the Wu’s elimination method. An infinite number of conserved quantities for the above equation are also obtained by solving a set of coupled Riccati equations. Cited in 3 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35Q51 Soliton equations 58Z05 Applications of global analysis to the sciences Keywords:nonlinear evolution equations; conservation laws; pseudo-spherical surfaces; Ibragimov-Shabat equation PDF BibTeX XML Cite \textit{S. M. Sayed} et al., Comput. Appl. Math. 27, No. 3, 305--318 (2008; Zbl 1157.35474)