General Lax-representation of a new higher-dimensional system: The current-fed membrane

Victor K. Kuetche

Chaos, Solitons & Fractals, 2014, vol. 59, issue C, 89-98

Abstract: In this paper, we delve into the prolongation structure of a coupled dispersionless system within the viewpoint of Wahlquist–Estabrook’s approach. Paying particular attention to the special linear SL(2,R)-symmetry of the system, we derive the more general Lax-pairs of a new higher-dimensional system stemming from the generalization of the Morris’s formalism geared towards constructing some family of nonlinear partial differential evolution model equations with additional spatial dimensions. Looking forward to providing a physical meaning of the new equations, we investigate the dynamics of a current-fed membrane within an external magnetic field and submitted to an additional constraint.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:59:y:2014:i:c:p:89-98

DOI: 10.1016/j.chaos.2013.12.004

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