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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Integrable nonlinear coupled waves with an exact asymptotic singular solution in the context of laser-plasma interaction
TL;DR: In this paper, a special case of coupled integrable nonlinear equations with a singular dispersion law is derived in the context of the small amplitude limit of general wave equations in a fluid-type warm electrons/cold ions plasma irradiated by a continuous laser beam.
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Метод матриц Коши в применении к уравнению Кадомцева-Петвиашвили с самосогласованными источниками
TL;DR: In this paper , the authors propose an approach to deal with the problem of the lack of a sufficient number of translational resources in the field of information technology for the purpose of improving the quality of information.
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Rational and Semi-Rational Solutions to the (2 + 1)-Dimensional Maccari System
TL;DR: In this paper , according to the KP hierarchy reduction technique, rational and some other semi-rational solutions to the (2 + 1)-dimensional Maccari system are investigated, and two different types of breathers can be derived, and under appropriate parameter constraints, they can be reduced to some well known solutions, involving the homoclinic orbits, dark soliton or anti-dark soliton solution.
Mesoscopic Collective Activity in Excitatory Neural Fields: Cross-frequency Coupling
Yuanhua Lin,Alex Sheremet +1 more
TL;DR: This work represents brain activity as a superposition of nonlinearly interacting patterns of spatio‐temporal activity (collective activity), supported by populations of neurons, and suggests that the coupling mechanism is simpler and richer: simpler because it involves the universal principle of nonlinearity; richer, because non linearity of collective activity is likelymodulated by specialized‐cell populations in ways to be yet understood.
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A new 3-component Degasperis–Procesi hierarchy
TL;DR: In this paper , the bi-Hamiltonian structures for the hierarchy of a 3-component generalization of the Degasperis-Procesi (3-DP) equation were studied.
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.