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Zbl 1157.35474
Sayed, S.M.; Elkholy, A.M.; Gharib, G.M.
Exact solutions and conservation laws for Ibragimov-Shabat equation which describe pseudo-spherical surface. (English)
[J] Comput. Appl. Math. 27, No. 3, 305-318 (2008). ISSN 0101-8205; ISSN 1807-0302/e

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 2000:
*35Q53 KdV-like equations
35Q51 Solitons
58Z05 Appl. of global analysis to physics

Keywords: nonlinear evolution equations; conservation laws; pseudo-spherical surfaces; Ibragimov-Shabat equation

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