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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Many Dimensional U (1) Solitons, Their Interactions, Resonances and Bound States
TL;DR: In this paper, the authors studied head-on collisions of two-space dimensional U(1) solitons via computer in the framework of the Lorentz-invariant Klein-Gordon equation with a logarithmic nonlinearity.
The modulational instability of Stokes waves on the surface of finite-depth fluid
TL;DR: In this article, the authors studied the modulational instability of Stokes waves without the traditional assumption as to the movement of a mean flow with the group velocity of the first harmonic and showed that the well-known limit k h = 1.363, where h is the fluid depth and k is the wave number, for the transition between the states of modulationally stable and unstable fluids in the case of weakly nonlinear waves can be obtained without this assumption.
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Breather to the Yajima-Oikawa system
TL;DR: In this paper, the KP hierarchy reduction was used to construct the breather solutions for the YO system in one and two-dimensional cases, in which the homoclinic orbit and dark soliton solutions are two special cases respectively.
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Bright and singular soliton solutions to the Atangana-Baleanu fractional system of equations for the ISALWs
TL;DR: In this paper, a new auxiliary equation scheme (NAES) is implemented to solve the Atangana-Baleanu (AB) fractional system of equations for the ion sound and Langmuir waves.
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Nondegenerate soliton solutions in certain coupled nonlinear Schr\"{o}dinger systems
TL;DR: In this paper, a general class of non-degenerate soliton solutions, associated with two distinct wave numbers in different modes, for a certain class of physically important integrable two component nonlinear Schrodinger type equations through bilinearization procedure was reported.
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.