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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.