Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations
نویسندگان
چکیده
This paper concerns the modified fractional Korteweg-de Vries (modified fKdV) and cubic nonlinear Schrödinger (fNLS) equations, with dispersions |D|??x |D|?+1, respectively. We prove global existence of small solutions for both Cauchy problems to fKdV fNLS a scattering which has logarithmic phase correction. Our results cover full range ?1<?<1, ??0 equations.
منابع مشابه
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2021
ISSN: ['1532-4133', '0360-5302']
DOI: https://doi.org/10.1080/03605302.2021.1904416