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Jacobi elliptic function solutions for two variant Boussinesq equations. (English) Zbl 1072.35567

Summary: A general Jacobi elliptic function expansion method is proposed to construct abundant Jacobi elliptic function (doubly periodic) solutions for two variant Boussinesq equations. These Jacobi elliptic function solutions degenerate to the soliton wave solutions and trigonometric function solutions at a certain limit condition.

MSC:

35Q35 PDEs in connection with fluid mechanics
37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions
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