Global weak solutions to the Novikov equation
نویسندگان
چکیده
منابع مشابه
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متن کاملThe investigation of local weak solutions for a generalized Novikov equation
which has a matrix Lax pair [, ] and is shown to be related to a negative flow in the Sawada-Kotera hierarchy. Several conservation quantities and a bi-Hamiltonian structure were found in []. Himonas and Holliman [] applied the Galerkin-type approximation method to prove the well-posedness of strong solutions for Eq. () in the Sobolev space Hs(R) with s > on both the line and the circle....
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and Applied Analysis 3 which is equivalent to ut uux Λ−2 [ −3uux − 32∂x ( uux ) − 1 2 ux β∂x [ ux N ]] ,
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متن کاملExact travelling wave solutions for the modified Novikov equation ∗
which was discovered in a symmetry classification of nonlocal PDEs with quadratic or cubic nonlinearity. By using the perturbation symmetry approach [7], Novikov found the first few symmetries and a scalar Lax pair for Eq. (1), then proved that it is integrable [9]. Hone and Wang [5] gave a matrix Lax pair for the Novikov equation and found its infinitely many conserved quantities, as well as a...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2013
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2013.05.022