Solitary waves in the Madelung's fluid: Connection between the nonlinear Schrödinger equation and the Korteweg-de Vries equation

By R. Fedele, H. Schamel. 2002

166 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9919e7cc02fff4ae46bdd74915436caf48e1e833

How researchers see this paper

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In Atomic and Molecular Physics, and Optics

1. Bengt Eliasson
2. Padma Kant Shukla
3. Xing Lü
4. Jun Yu
5. Wenxiu Ma
6. Chaudry Masood Khalique
7. Fuhong Lin
8. Abdullah Al Mamun

In Statistical and Nonlinear Physics

1. Xing Lü
2. Wenxiu Ma
3. Jun Yu
4. Chaudry Masood Khalique
5. Fuhong Lin
6. Jin-Yun Yang
7. Yufeng Zhang
8. Xi-Xiang Xu

Citations in the corpus

• Formation and dynamics of coherent structures involving phase-space vortices in plasmas (2006, background): “Similar to the ion-acoustic waves in an electron–ion plasma [29], a modified Korteweg–de-Vries equation [30,31] can be derived for the dynamics of electron and ion holes in the small amplitude limit, but with a stronger nonlinearity due to the trapped particles [20].”
• Envelope bright- and dark-soliton solutions for the Gerdjikov–Ivanov model (2015, methodology): “Madelung fluid description has been used to discuss families of generalized one-dimensional nonlinear Schrödinger equations [15–19], as follows: • In Ref.”