Eur. Phys. J. Appl. Phys.
Volume 52, Number 1, October 2010
|Number of page(s)||8|
|Section||Physics and Mechanics of Fluids, Microfluidics|
|Published online||17 September 2010|
Quasi-solitons of the two-mode Korteweg-de Vries equation
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: firstname.lastname@example.org
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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