Construction of multi-soliton solutions for the $L^2$-supercritical gKdV and NLS equations | Zendy

Raphaël Côte | Zendy; Yvan Martel | Zendy; Frank Merle | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Construction of multi-soliton solutions for the $L^2$-supercritical gKdV and NLS equations

Author(s) -

Raphaël Côte,

Yvan Martel,

Frank Merle

Publication year - 2011

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/636

Subject(s) - nls , supercritical fluid , soliton , mathematical physics , physics , nonlinear system , quantum mechanics , biology , thermodynamics , nuclear localization sequence , microbiology and biotechnology , cytoplasm

International audienceMulti-soliton solutions, i.e. solutions behaving as the sum of N given solitons as $t\to +\infty$, were constructed in previous works for the L2 critical and subcritical (NLS) and (gKdV) equations. In this paper, we extend the construction of multi-soliton solutions to the L2 supercritical case both for (gKdV) and (NLS) equations, using a topological argument to control the direction of instability

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research