Journal ArticleDOI
A modified Korteweg-de Vries equation for ion acoustic wavess due to resonant electrons
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In this article, the dependence of the asymptotic behavior of small ion-acoustic waves on the number of resonant electrons is investigated by assuming an electron equation of state corresponding to the observed flat-topped electron distribution functions.Abstract:
The dependence of the asymptotic behaviour of small ion-acoustic waves on the number of resonant electrons is investigated by assuming an electron equation of state corresponding to the observed flat-topped electron distribution functions. The result is a modified Korteweg-de Vries equation with a stronger nonlinearity.read more
Citations
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Electron holes, ion holes and double layers: Electrostatic phase space structures in theory and experiment
TL;DR: In this paper, the state-of-the-art in the observation and analytical description of localized electrostatic phase space structures is reviewed, and the controlling function of these nonlinearly excited d.c. states in the dynamical evolution of bounded plasmas exhibiting transient phenomena is discussed.
Journal ArticleDOI
Link between solitary waves and projective Riccati equations
Robert Conte,M. Musette +1 more
TL;DR: In this article, the authors deduce a method for building these solutions by determining only a finite number of coefficients, which is much shorter and obtains more solutions than the one which consists of summing a perturbation series built from exponential solutions of the linearized equation.
Journal ArticleDOI
Soliton experiments in plasmas
TL;DR: In this paper, the experiments on solitons in plasmas performed during the period 1970 to 1982 are reviewed and suggested suggestions for future experiments are presented, as well as a review of the results.
Journal ArticleDOI
Hole equilibria in Vlasov-Poisson systems: A challenge to wave theories of ideal plasmas
TL;DR: In this paper, a unified description of weak hole equilibria in collisionless plasmas is given, relying on the potential method rather than on the Bernstein, Greene, Kruskal method and associated with electron and ion holes, respectively.
Journal ArticleDOI
Ion-acoustic solitary waves in a plasma with a q-nonextensive electron velocity distribution
TL;DR: In this paper, the authors considered a two-component plasma with a q-nonextensive electron velocity distribution and showed that in such a plasma solitary waves, the amplitude and nature of which depend sensitively on the q-parameter can exist.
References
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Journal ArticleDOI
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
Journal ArticleDOI
XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
D. J. de Korteweg,G. de Vries +1 more
TL;DR: In this article, the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves were discussed, and a new model of long wave propagation was proposed.
Journal ArticleDOI
Propagation of ion acoustic solitary waves of small amplitude.
Haruichi Washimi,Tosiya Taniuti +1 more
Journal ArticleDOI
Korteweg‐de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
TL;DR: In this article, a variety of conservation laws and constants of motion for the Kortewegde Vries and related equations are derived for the Sturm-Liouville eigenvalue problem.
Journal ArticleDOI
Stationary solitary, snoidal and sinusoidal ion acoustic waves
TL;DR: Stix's treatment of zero-damped electrostatic waves in a Maxwellian plasma is extended to the nonlinear regime in this paper, where Stationary Bernstein-Greene-Krusk almodes which propagate with ion acoustic speed are constructed.
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