Formation and Interaction of Sonic-Langmuir Solitons Inverse Scattering Method
Nobuo Yajima,Masayuki Oikawa +1 more
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This article is published in Progress of Theoretical Physics.The article was published on 1976-12-01 and is currently open access. It has received 300 citations till now. The article focuses on the topics: Scattering theory & Scattering amplitude.read more
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Multi Soliton Solution for Langmuir Ion-Acoustic System in an Arbitrary Background
A. Roy Chowdhury,G. Mahato +1 more
TL;DR: In this paper, the dressing-up technique proposed by Neugebauer et al. was used to find compact formulas for the general N-Soliton Solution for Langmuir Ion Acoustic System.
Journal ArticleDOI
Nonlocal U(1)-invariant nonlinear Schrödinger system from geometric non-stretching curve flow in G2/SO(4)
TL;DR: In this article, a U(1)-invariant nonlocal coupled nonlinear Schrodinger type system was proposed, consisting of a real scalar and two different complex variables as well as its equivalent imaginary quaternionic-complex versio...
Journal ArticleDOI
Dynamics of vector acoustic solitons under nonlinear interaction between long and short waves
Sergey V. Sazonov,N. V. Ustinov +1 more
TL;DR: In this article, the propagation of a longitudinal-transverse pulse through a statically strained crystal containing paramagnetic impurities and placed in an external magnetic field is investigated, and it is shown that the nonequilibrium distribution of the populations of impurity spin sublevels allow us to create the conditions for effective interaction between the longitudinal (longwave) and transverse (shortwave) components of the pulse.
Journal ArticleDOI
Effect of Kerr Nonlinearity on the Formation of Few-Cycle Optical Terahertz Solitons
Proceedings ArticleDOI
Regimes of nonlinear transparency for longitudinal-transverse hypersound in a system of resonant paramagnetic impurities
A. V. Gulakov,Sergey V. Sazonov +1 more
TL;DR: In this paper, the nonlinear propagation of longitudinal-transverse acoustic pulses in the system of resonant paramagnetic impurities is theoretically investigated, and it is shown that under domination of transversal pulse component and propagation along external magnetic field is realized a regime of acoustic self-induced transparency.
References
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Journal ArticleDOI
Essentially nonlinear one-dimensional model of classical field theory
L. A. Takhtadzhyan,L. D. Faddeev +1 more
Journal ArticleDOI
On the Dynamics of Sonic-Langmuir Solitons
TL;DR: In this paper, the nonstationary evolution of nonlinear Langmuir waves is considered and the process of soliton formation is studied in the case where the perturbation propagates with a speed close to that of sound.
Journal ArticleDOI
Method for Solving the Sine-Gordon Equation in Laboratory Coordinates†
TL;DR: Inverse scattering transforms as discussed by the authors can be used to solve the sine-Gordon equation in laboratory coordinates, which can be seen as a generalization of the direct and inverse scattering transforms.