On the Nonexistence of Pure Multi-solitons for the Quartic gKdV Equation

DOI10.1093/imrn/rnt214zbMath1315.35191arXiv1409.7876OpenAlexW2963528222MaRDI QIDQ5175406

Yvan Martel, Frank Merle

Publication date: 23 February 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7876

zbMATH Keywords

solitonquartic generalized Korteweg-de Vries (gKdV) equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (7)

Spectral approach to Korteweg-de Vries equations on the compactified real line ⋮ Inelasticity of soliton collisions for the 5D energy critical wave equation ⋮ Construction of multi-solitons for the energy-critical wave equation in dimension 5 ⋮ Spatial decay of multi-solitons of the generalized Korteweg-de Vries and nonlinear Schrödinger equations ⋮ Nonexistence of pure multi-solitons for the quartic gBBM equation ⋮ Construction of two-bubble solutions for some energy-critical wave equations ⋮ Non dispersive solutions of the generalized Korteweg-de Vries equations are typically multi-solitons

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