An Exact Solution of the Hunter–Saxton–Calogero Equation by Contact Linearization Method

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Svetlana Mukhina

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.

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How to Cite
Mukhina, S. (2023). An Exact Solution of the Hunter–Saxton–Calogero Equation by Contact Linearization Method. Advances in Systems Science and Applications, 23(04), 1-7. https://doi.org/10.25728/assa.2023.23.04.1504
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