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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Computer and Solitons
TL;DR: In this paper, the properties of one and more space dimensional solitons are discussed on the basis of the works performed mainly in Dubna at the Joint Institute for Nuclear Research, Laboratory of Computing Techniques and Automation.
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Gradient-consistent non-linear model of the generation of ultrasound in the propagation of seismic waves☆
TL;DR: In this paper, the equations of the propagation of weak non-linear waves are obtained by a detailed analysis of the gradient-consistent micropolar model of a granular continuous medium.
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Similarity reduction of the modified Yajima?Oikawa equation
TL;DR: In this paper, a similarity reduction of the modified Yajima-Oikawa hierarchy is studied, which is associated with a non-standard Heisenberg subalgebra in the affine Lie algebra of type A(1)2.
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Terahertz Solitons in Condensed Media
TL;DR: Theoretical approaches to the formation and propagation of soliton-like broadband electromagnetic and acoustic pulses with terahertz frequencies in condensed media are reviewed in this article, where solitons of different types are analyzed and controlling their parameters by modifying the nonlinear medium is discussed.
References
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Essentially nonlinear one-dimensional model of classical field theory
L. A. Takhtadzhyan,L. D. Faddeev +1 more
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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.
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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.