| Issue |
Eur. Phys. J. Appl. Phys.
Volume 52, Number 1, October 2010
|
|
|---|---|---|
| Article Number | 11301 | |
| Number of page(s) | 8 | |
| Section | Physics and Mechanics of Fluids, Microfluidics | |
| DOI | https://doi.org/10.1051/epjap/2010132 | |
| Published online | 17 September 2010 | |
https://doi.org/10.1051/epjap/2010132
Quasi-solitons of the two-mode Korteweg-de Vries equation
1
Department of Photonics, National Sun Yat-Sen University, Kaohsiung, 804, Taiwan
2
MEMS & Precision Machinery Research Center, College of Engineering,
National Kaohsiung University of Applied Sciences, Kaohsiung, 807, Taiwan
3
Department of Applied Mathematics, National HsinChu University of Education, Hsinchu, 300, Taiwan
Corresponding author: chuntelee2000@googlemail.com
Received:
17
December
2009
Revised:
29
March
2010
Accepted:
23
July
2010
Published online:
17
September
2010
The two-mode Korteweg-de Vries equation (TMKdV) was proposed to describe the propagation of nonlinear waves of two different wave modes simultaneously. However, the existence of multi-soliton solutions is still unknown. In this letter we present two Hamiltonians, the conservation laws, and a Miura-like transformation of the equation. We show that the TMKdV equation has “quasi-soliton” behaviour in which waves moving in the same direction pass through each other almost without change of their wave forms except for phase shifts.
© EDP Sciences, 2010
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