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Weighted identities for solutions of generalized Korteweg-de Vries equations

✍ Scribed by S. I. Pokhozhaev


Book ID
110149907
Publisher
SP MAIK Nauka/Interperiodica
Year
2011
Tongue
English
Weight
650 KB
Volume
89
Category
Article
ISSN
0001-4346

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We apply the method of operator splitting on the generalized Korteweg-de Vries (KdV) equation u t + f (u) x + Ξ΅u xxx = 0, by solving the nonlinear conservation law u t + f (u) x = 0 and the linear dispersive equation u t + Ξ΅u xxx = 0 sequentially. We prove that if the approximation obtained by opera