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Exact solutions and conservation laws for Ibragimov-Shabat equation which describe pseudo-spherical surface. (English) Zbl 1157.35474
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.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35Q51Soliton-like equations
58Z05Applicatons of global analysis to physics