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Exact solitary wave solutions of the generalized \((2+1)\) dimensional Boussinesq equation. (English) Zbl 1205.35273

Summary: The bifurcation method of dynamical systems is employed to investigate the bifurcation of solitary waves in the generalized \((2+1)\) dimensional Boussinesq equation. Numbers of solitary waves are given for each parameter condition. Under some parameter conditions, exact solitary wave solutions are obtained.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
35C08 Soliton solutions
37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010)
37K50 Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems
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References:

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