A new reductive perturbation formalism for ion acoustic cnoidal waves

Autor: Frank Verheest, Carel Olivier
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: JOURNAL OF PLASMA PHYSICS
ISSN: 0022-3778
1469-7807
Popis: A new formalism for the derivation of the cnoidal wave solution is presented by introducing a new set of initial conditions and a subacoustic moving frame. The resulting set of solutions is also constructed in a way that ensures the conservation of number density. The solutions are illustrated in a variety of graphical representations, and the effect of the amplitude's magnitude on the cnoidal wave form is presented. Interestingly, it is shown that the wavelength of the solutions decreases with amplitude. In addition, it is shown that the small-amplitude cnoidal wave solutions converge to linear waves in the small-amplitude limit.
Databáze: OpenAIRE