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- Title
An Exact Solution of the Hunter-Saxton-Calogero Equation by Contact Linearization Method.
- Authors
Mukhina, Svetlana
- Abstract
In this paper we consider a class of generalized nonlinear hyperbolic partial differential equations of the Hunter-Saxton-Calogero type, which arise in the theory of control of liquid crystals and in the control of unsteady gas flows. We found such conditions that the original equation can be reduced to linear one by contact transformations. The general exact multivalued solutions of the Hunter-Saxton-Calogero equation are found. The obtained solutions are visualized.
- Subjects
PARTIAL differential equations; LIQUID crystals; GAS flow; MATHEMATICAL transformations; NONLINEAR control theory
- Publication
Advances in Systems Science & Applications, 2023, Vol 23, Issue 4, p1
- ISSN
1078-6236
- Publication type
Article