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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General multicomponent Yajima-Oikawa system: Painlevé analysis, soliton solutions, and energy-sharing collisions.
TL;DR: The three-soliton interaction is explored and the pairwise nature of collisions is demonstrated and the fascinating state restoration property is unraveled.
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General Mixed Multi-Soliton Solutions to One-Dimensional Multicomponent Yajima-Oikawa System
TL;DR: In this paper, a general mixed (bright-dark) multi-soliton solution to a one-dimensional multicomponent Yajima-Oikawa (YO) system was derived.
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Soliton solutions for a perturbed nonlinear Schrodinger equation
TL;DR: Using the inverse scattering transform, this article found one-parameter and the breather-like fourparameter soliton solutions of a perturbed nonlinear Schrodinger equation which describes the pulse propagation in optical fibres in the femtosecond regime.
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Traveling wave solutions of a (2 + 1)-dimensional Zakharov-like equation by the first integral method and the tanh method
TL;DR: In this article, the first integral method and a variety of solitary wave methods are employed for constructing the new exact traveling wave solutions of a (2 + 1)-dimensional Zakharov-like soliton equation.
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Modifications of k-constrained KP hierarchy
TL;DR: In this paper, the construction of the modifications and Miura type maps for the k-constrained KP hierarchy is discussed and the explicit formulae are given for the cases k = 2 and 3.
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.