Formation and Interaction of Sonic-Langmuir Solitons Inverse Scattering Method
Nobuo Yajima,Masayuki Oikawa +1 more
Reads0
Chats0
About:
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
Citations
More filters
Journal ArticleDOI
High-order rogue waves of a long-wave-short-wave model of Newell type.
TL;DR: The modulation instability analysis shows that the condition of the baseband modulation instability where an unstable continuous-wave background corresponds to perturbations with infinitesimally small frequencies, coincides with the condition for the existence of rogue-wave solutions.
Journal ArticleDOI
(1+1)-dimensional Hamiltonian systems as symmetry constraints of the Kadomtsev-Petviashvili equation
TL;DR: In this paper, it was shown that the linear problems associated with the Kadomtsev-Petviashvili equation are (1+1)-dimensional Hamiltonian systems under the symmetry constraints.
Journal ArticleDOI
Bi‐Hamiltonian structures of the coupled AKNS hierarchy and the coupled Yajima–Oikawa hierarchy
TL;DR: In this article, the second Hamiltonian structure of the Yajima-Oikawa hierarchy is shown to be a Dirac reduction of the sl(3) current algebra, while the latter is related to the classical W( 3)4 algebra.
Journal ArticleDOI
Modulational instability of strongly dispersive drift waves and formation of convective cells
TL;DR: In this paper, the two-dimensional self-modulation instability of strongly dispersive drift waves is investigated in order to explain convective cell excitation in drift wave turbulence, and it is shown that the nonlinear evolution of the convective cells can lead to anomalous particle losses.
Journal ArticleDOI
Resonant transparency regimes under conditions of long/short-wave coupling
Sergey V. Sazonov,N. V. Ustinov +1 more
TL;DR: In this article, a nonlinear two-component electromagnetic pulse propagation through a resonant axially symmetric anisotropic medium having a permanent dipole moment is analyzed under conditions of strong coupling between the ordinary (short-wavelength) and extraordinary (longwavelength), pulse components, and it is shown that a pulse can propagate through the medium in regimes different from self-induced transparency if its ordinary component is detuned off resonance.
References
More filters
Journal ArticleDOI
Essentially nonlinear one-dimensional model of classical field theory
L. A. Takhtadzhyan,L. D. Faddeev +1 more
Journal ArticleDOI
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.
Journal ArticleDOI
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.