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On the Converse Multipotentialisation of Linearisable Third-Order Evolution Equations
2011 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The Calogero-Degasperis-Ibragimov-Shabat equation is a well-known example of a third-order evolution equation which is linearisable by a nonlocal transformation. In an attempt to generalize this equation we used a new method, known as "the converse multipotentialisation", which can be applied as a backwards-calculation technique to derive nonlinear evolution equations from linear equations. We'll explain this method and show that its application leads to a generalization of the Calogero-Degasperis-Ibragimov-Shabat equation, which is the main result of the study.

Place, publisher, year, edition, pages
2011. , 55 p.
Keyword [en]
Keyword [sv]
Teknik, potentialisering, utvecklingsekvationer, CDIS-ekvationen, linearisering
URN: urn:nbn:se:ltu:diva-55038Local ID: bf35a9d3-9145-46de-b0ce-7015fb6b4635OAI: diva2:1028419
Subject / course
Student thesis, at least 30 credits
Educational program
Engineering Physics, master's level
Validerat; 20110331 (anonymous)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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