期刊
EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS
卷 52, 期 1, 页码 -出版社
EDP SCIENCES S A
DOI: 10.1051/epjap/2010132
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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.
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