596 citations · 716 across the 19 of their papers we have counts for
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Inelastic interaction of nearly equal solitons for the BBM equation
Yvan Martel, Frank Merle
This paper is concerned with the interaction of two solitons of nearly equal speeds for the (BBM) equation. This work is an extension of the results obtained in arXiv:0910.3204 by…
Inelastic interaction of nearly equal solitons for the quartic gKdV equation
Yvan Martel, Frank Merle
This paper presents a complete description of the interaction of two solitons with nearly equal speeds for the quartic (gKdV) equation. By constructing an approximate solution of t…
Universality of blow-up profile for small radial type II blow-up solutions of energy-critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle
Consider the energy critical focusing wave equation on the Euclidian space. A blow-up type II solution of this equation is a solution which has finite time of existence but stays b…
Stable self similar blow up dynamics for slightly L^2 supercritical NLS equations
Frank Merle, Pierre Raphael, Jeremie Szeftel
We consider the focusing nonlinear Schrödinger equations in dimension and for slightly supercritical nonlinearities $p_c<p<(1…
Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations
Raphael Cote, Yvan Martel, Frank Merle
Multi-soliton solutions, i.e. solutions behaving as the sum of N given solitons as , were constructed in previous works for the L2 critical and subcritical (NLS) and…