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Zbl 1062.35082
Elwakil, S.A.; El-Labany, S.K.; Zahran, M.A.; Sabry, R.
Modified extended tanh-function method and its applications to nonlinear equations. (English)
[J] Appl. Math. Comput. 161, No. 2, 403-412 (2005). ISSN 0096-3003

Summary: New exact travelling wave solutions for the generalized shallow water wave equation, the improved Boussinesq equation and the coupled system for the approximate equations for water waves are found using a modified extended tanh-function method. The obtained results include rational, periodic, singular and solitary wave solutions.
MSC 2000:
*35Q35 Other equations arising in fluid mechanics
76B15 Wave motions (fluid mechanics)

Keywords: travelling wave solutions; solitary wave solutions; symbolic computation; shallow water wave equation; Boussinesq equation

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