Wave Excitation in a Dissipative Medium with a Double Quadratically-Modular Nonlinearity: a Generalization of the Inhomogeneous Burgers Equation
- Authors: Rudenko O.V.1,2,3,4
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Affiliations:
- Physics Faculty
- Prokhorov General Physics Institute
- Schmidt Institute of Physics of the Earth
- Blekinge Institute of Technology
- Issue: Vol 97, No 3 (2018)
- Pages: 279-282
- Section: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/225513
- DOI: https://doi.org/10.1134/S1064562418030110
- ID: 225513
Cite item
Abstract
Solutions of a forced (inhomogeneous) partial differential equation of the second order with two types of nonlinearity: power (quadratic) and nonanalytic (modular) are found. Equations containing each of these nonlinearities separately were studied earlier. A natural continuation of these studies is the development of the theory of wave phenomena in a medium with a double nonlinearity, which have recently been observed in experiments. Here solutions describing the profiles of intense waves are derived. Shapes of freely propagating stationary perturbations in the form of shock waves with a finite front width are found. The profiles of forced waves excited by external sources are calculated.
About the authors
O. V. Rudenko
Physics Faculty; Prokhorov General Physics Institute; Schmidt Institute of Physics of the Earth; Blekinge Institute of Technology
Author for correspondence.
Email: rudenko@acs366.phys.msu.ru
Russian Federation, Moscow, 119991; Moscow; Moscow; Karlskrona