On (Modified) Boussinesq‐Type Systems and Factorizations of Associated Linear Differential Expressions | Zendy

Gesztesy Friedrich | Zendy; Race David | Zendy; Weikard Rudi | Zendy

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On (Modified) Boussinesq‐Type Systems and Factorizations of Associated Linear Differential Expressions

Author(s) -

Gesztesy Friedrich,

Race David,

Weikard Rudi

Publication year - 1993

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/s2-47.2.321

Subject(s) - type (biology) , nonlinear system , mathematics , construct (python library) , string (physics) , order (exchange) , linear differential equation , differential equation , mathematical analysis , computer science , mathematical physics , physics , geology , finance , quantum mechanics , economics , programming language , paleontology

We study Bäcklund transformations for a Boussinesq‐ or nonlinear string‐type equation and explicitly construct solutions for the associated modified equations. Our main results involve Miura‐type transformations and a careful study of factorizations of associated third‐order linear differential expressions.

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