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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Integrability of a discrete Yajima-Oikawa system
TL;DR: In this paper, a Lax-pair representation for the discrete Yajima-Oikawa system was proposed, and the next higher flow of the discrete Schrodinger hierarchy was derived.
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Dark Soliton in Long and Short Wave Resonant Interaction
Kiyoshi Sakai,Akira Noguchi +1 more
TL;DR: In this paper, the equations which describe the resonant interaction of short and long waves are exactly solved by Hirota's method. But the N -soliton solution which corresponds to the dark soliton as the short wave and rarefactive soliton (RSS) as the long wave are given.
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MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine $${\mathcal {W}}$$ W -algebras
Matteo Casati,Daniele Valeri +1 more
TL;DR: The Mathematica packages MasterPVA and MasterPVAmulti as discussed by the authors are used to compute lattice brackets in Poisson vertex algebras, which play an important role in the theory of infinite-dimensional Hamiltonian systems.
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Existence of bound states for (N+1)-coupled long-wave--short-wave interaction equations
TL;DR: In this paper, the existence of an infinite family of smooth positive bound states for (N + 1)-coupled long-wave-short-wave interaction equations is proved and the system describes the interaction between N short waves and a long wave and is of interest in physics and fluid dynamics.
Integrable generalized Heisenberg ferromagnet equations with self-consistent potentials and related Yajima-Oikawa type equations
Zh. R. Myrzakulova,Gulgasyl Nugmanova,Kuralay Yesmakhanova,N. S. Serikbayev,Ratbay Myrzakulov +4 more
TL;DR: In this paper , the integrable generalized Heisenberg ferromagnet equations (HFE) with self-consistent potentials (HFESCP) have been studied and the associated Lax representations of these HFESCP are given.
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.