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Global solutions for the generalized Boussinesq equation in low-order Sobolev spaces
Global solutions generalized Boussinesq equation low-order Sobolev spaces
2010/12/14
We show that the Cauchy problem for the defocusing generalized Boussinesq equation utt − uxx + uxxxx − (|u|2ku)xx = 0, k 1, on the real line is globally well-posed in Hs(R) for s > 1W...
A note on one-dimensional optimal system of generalized Boussinesq equation
Lie group symmetry generalized boussinesq equation
2010/9/13
In this paper Lie group classification of a Generalized Bonussinesq Equation (p, q, r are constant) is obtained by the one-parameter optimal system of one-dimensional subalgebras of the Lie Algebra wh...