科研之友
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摘要
Multi-rogue wave solutions of integrable equations have a very specific number of elementary components within their structures. These numbers are given by the "triangular numbers" for the nth-order solution. This contrasts with the case of multi-soliton solutions, where the number of solitons is n. This fact reveals a significant difference between the higher-order rogue waves and the higher-order soli tons. Each nth step of generation of multi-rogue wave solutions adds n elementary rogue waves to the solution, in contrast to n-soliton solutions, where each step adds only one soliton to the existing n - 1 solitons in the composition. We provide the mathematical analysis for the number of 'elementary particles' in the composite rogue wave structures.
- 出版日期2017
