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4 Results Found

  • Article
  • Open Access
8 Citations
1,561 Views
11 Pages

Bipolar Solitary Wave Interactions within the Schamel Equation

  • Ekaterina Didenkulova,
  • Efim Pelinovsky and
  • Marcelo V. Flamarion

15 November 2023

Pair soliton interactions play a significant role in the dynamics of soliton turbulence. The interaction of solitons with different polarities is particularly crucial in the context of abnormally large wave formation, often referred to as freak or ro...

  • Article
  • Open Access
12 Citations
3,999 Views
12 Pages

20 January 2022

The propagation of dissipative electrostatic (ion-acoustic) solitary waves in a magnetized plasma with trapped electrons is considered via the Schamel formalism. The direction of propagation is assumed to be arbitrary, i.e., oblique with respect to t...

  • Article
  • Open Access
18 Citations
3,225 Views
16 Pages

20 January 2022

Traveling wave solutions, including localized and periodic structures (e.g., solitary waves, cnoidal waves, and periodic waves), to a symmetry Korteweg–de Vries equation (KdV) with integer and rational power law nonlinearity are reported using...

  • Article
  • Open Access
7 Citations
3,374 Views
14 Pages

30 September 2020

The examination of the mutual influence of the two main trapping scenarios, which are characterized by B and D and which in isolation yield the known sech4 (D=0) and Gaussian (B=0) electron holes, show generalized, two-parametric solitary wave soluti...