Modulated waves and helicoidal pseudospherical surfaces in nonlinear inhomogeneous elasticity

The nonlinear wave equation provides a Lagrangian description of one-dimensional stress propagation in a class of model inhomogeneous ideally hard elastic materials. It is associated with the geometry of pseudospherical surfaces and, as such, is integrable and admits an auto-Backlund transformation....

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2010-03, Vol.43 (10), p.105206-105206
Main Authors: Schief, W K, Rogers, C
Format: Article
Language:English
Subjects:
Elasticity
Exact sciences and technology
Mathematical models
Nonlinearity
Physics
Stress propagation
Transformations
Wave equations
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Summary:The nonlinear wave equation provides a Lagrangian description of one-dimensional stress propagation in a class of model inhomogeneous ideally hard elastic materials. It is associated with the geometry of pseudospherical surfaces and, as such, is integrable and admits an auto-Backlund transformation. Here, modulated waves associated with helicoidal pseudospherical surfaces are investigated.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/43/10/105206