Browsing Department of Mathematics by Journals "Communications in Mathematical Physics"

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Full family of flattening solitary waves for the critical generalized KdV equation

Martel, Yvan; Pilod, Didier Jacques Francois (Journal article; Peer reviewed, 2020)

For the critical generalized KdV equation ∂tu+∂x(∂2xu+u5)=0 on R, we construct a full family of flattening solitary wave solutions. Let Q be the unique even positive solution of Q′′+Q5=Q. For any ν∈(0,13), there exist ...