Some Remarks on the Modified Korteweg-de Vries Equations | Zendy

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Some Remarks on the Modified Korteweg-de Vries Equations

Author(s) -

S. Tanaka

Publication year - 1972

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195192956

Subject(s) - korteweg–de vries equation , mathematics , transformation (genetics) , section (typography) , dispersionless equation , interpretation (philosophy) , nonlinear system , partial differential equation , mathematical analysis , kadomtsev–petviashvili equation , characteristic equation , physics , chemistry , quantum mechanics , biochemistry , advertising , computer science , programming language , business , gene

In Section 1 we associate certain linear differential operators to modifications of the KdV equation. An interpretatio n is given to the non-linear transformation of Miura [4] which converts a solution of one of modified KdV equations into that of the KdV equation. In Section 2 we construct a family of special solutions of another modification of the KdV equation. 1. In this paper we study the modified Korteweg-de Vries (KdV) equations

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