Inhomogeneous Burgers equation with modular nonlinearity: Excitation and evolution of high-intensity waves
- Autores: Rudenko O.V.1,2,3,4
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Afiliações:
- Physics Faculty
- Prokhorov General Physics Institute
- Schmidt Institute of Physics of the Earth
- Blekinge Institute of Technology
- Edição: Volume 95, Nº 3 (2017)
- Páginas: 291-294
- Seção: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/225163
- DOI: https://doi.org/10.1134/S1064562417030255
- ID: 225163
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Resumo
Solutions to an inhomogeneous partial differential equation of the second-order like Burgers equation are derived. Instead of the common quadratically nonlinear term, this equation contains the term with modular nonlinearity. This model describes the excitation of elastic waves in dissipative media differently reacting to tensile and compressive stresses. The equation is linear for the functions, preserving the sign. Nonlinear effects are manifested only to alternating functions. The solution for the periodic signal is found. The processes of generation of fundamental and higher harmonics are studied. The stationary wave profile is constructed. For one special kind of right-hand-side of the “modular” equation the solution in the form of S-wave is pointed out which is a bipolar single pulse.
Sobre autores
O. Rudenko
Physics Faculty; Prokhorov General Physics Institute; Schmidt Institute of Physics of the Earth; Blekinge Institute of Technology
Autor responsável pela correspondência
Email: rudenko@acs366.phys.msu.ru
Rússia, Moscow, 119991; Moscow; Moscow; Karlskrona
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