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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Application of the ITEM for the system of equations for the ion sound and Langmuir waves
TL;DR: In this paper, the improved $$\tan (\phi (\xi )/2)$$¯¯ -expansion method is further extended into the system of equations for the ion sound and Langmuir waves in plasma.
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New reductions of integrable matrix PDEs —Sp(m)-invariant systems—
TL;DR: In this paper, a new type of reduction for integrable systems of coupled matrix PDEs is proposed, which equates one matrix variable with the transposition of another multiplied by an anti-symmetric constant matrix.
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Classical Affine \({\mathcal{W}}\)-Algebras for \({\mathfrak{gl}_N}\) and Associated Integrable Hamiltonian Hierarchies
TL;DR: In this paper, the authors apply the new method for constructing integrable Hamiltonian hierarchies of Lax type equations developed in their previous paper to show that all vector constrained KP hierarchies and their matrix generalizations are obtained from these hierarchies by Dirac reduction, which provides the former with a bi-Poisson structure.
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Liapunov stability of generalized Langmuir solitons
E. W. Laedke,Karl H. Spatschek +1 more
TL;DR: In this paper, the stability of finite amplitude solitary waves is investigated using Liapunov theory and a stability criterion is derived which proves the longitudinal stability for the known stationary wave solutions.
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Computer experiments in soliton theory
TL;DR: In this article, the properties of solitons in one and more space dimensions are discussed with emphasis on the qualitative results obtained by computer, where possible a brief description of the calculation techniques employed is 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.