期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 42, 期 11, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/42/11/115103
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资金
- DST-IRPHA
- DST Ramanna Fellowship
Bright plane soliton solutions of an integrable (2+1)-dimensional (n+1)-wave system are obtained by applying Hirota's bilinearization method. First, the soliton solutions of a three-wave system consisting of two short-wave components and one long-wave component are found and then the results are generalized to the corresponding integrable (n+1)-wave system with n short waves and a single long wave. It is shown that the solitons in the short-wave components ( say S-(1) and S-(2)) can be amplified by merely reducing the pulse width of the long-wave component ( say L). Study of the collision dynamics reveals some interesting behaviour: the solitons which split up in the short-wave components undergo shape changing collisions with intensity redistribution and amplitude-dependent phase shifts. Even though a similar type of collision is possible in (1+1)-dimensional multicomponent integrable systems, to our knowledge we report this kind of collision in (2+1) dimensions for the first time. However, solitons which appear in the long-wave component exhibit only elastic collision though they undergo amplitude-dependent phase shifts.
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