Nonlinearizing linear equations to integrable systems including new hierarchies with source terms
نویسنده
چکیده
Reverse to linearization, we propose a nonlinearization scheme of linear systems for generating integrable equations, based on a simple scaling dimensional argument. This yields together with well known integrable systems, new hierarchies of integrable equations with source terms, allowing exact n-soliton solutions. The novelty of such sources is that they can be deformed recursively by going to the next order equation in their integrable hierarchy. PACS: 02.30.lk, 02.30.jr, 05.45.Yv, 11.10.Lm,
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