Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential T Mizumachi Journal of Mathematics of Kyoto University 48 (3), 471-497, 2008 | 76 | 2008 |
Stability of the line soliton of the KP-II equation under periodic transverse perturbations T Mizumachi, N Tzvetkov Mathematische Annalen 352, 659-690, 2012 | 71 | 2012 |
On asymptotic stability in energy space of ground states for Nonlinear Schr\" odinger equations S Cuccagna, T Mizumachi arXiv preprint arXiv:0711.4195, 2007 | 65 | 2007 |
Stability of line solitons for the KP-II equation in ℝ² T Mizumachi American Mathematical Society 238 (1125), 2015 | 62 | 2015 |
Bäcklund Transformation and L2-stability of NLS Solitons T Mizumachi, D Pelinovsky International Mathematics Research Notices 2012 (9), 2034-2067, 2012 | 45 | 2012 |
Asymptotic stability of lattice solitons in the energy space T Mizumachi Communications in Mathematical Physics 288, 125-144, 2009 | 45 | 2009 |
Asymptotic stability of Toda lattice solitons T Mizumachi, RL Pego Nonlinearity 21 (9), 2099, 2008 | 44 | 2008 |
Weak interaction between solitary waves of the generalized KdV equations T Mizumachi SIAM journal on mathematical analysis 35 (4), 1042-1080, 2003 | 43 | 2003 |
Description of the inelastic collision of two solitary waves for the BBM equation Y Martel, F Merle, T Mizumachi Archive for rational mechanics and analysis 196, 517-574, 2010 | 42* | 2010 |
Large Time Asymptotics of Solutions Around Solitary Waves to the Generalized Korteweg--de Vries Equations T Mizumachi SIAM Journal on Mathematical Analysis 32 (5), 1050-1080, 2001 | 41 | 2001 |
Vortex solitons for 2D focusing nonlinear Schrödinger equation T Mizumachi | 36 | 2005 |
Asymptotic stability of small solitons for 2D nonlinear Schrödinger equations with potential T Mizumachi Journal of Mathematics of Kyoto University 47 (3), 599-620, 2007 | 35 | 2007 |
Asymptotic Stability of N-Solitary Waves of the FPU Lattices T Mizumachi Archive for Rational Mechanics and Analysis 207, 393-457, 2013 | 34* | 2013 |
Asymptotic stability of solitary wave solutions to the regularized long-wave equation T Mizumachi Journal of Differential Equations 200 (2), 312-341, 2004 | 32 | 2004 |
Time decay of solutions to degenerate Kirchhoff type equation T Mizumachi Nonlinear Analysis: Theory, Methods & Applications 33 (3), 235-252, 1998 | 27 | 1998 |
Stability of line solitons for the KP-II equation in ℝ2. II T Mizumachi Proceedings of the Royal Society of Edinburgh Section A: Mathematics 148 (1 …, 2018 | 25 | 2018 |
Instability of vortex solitons for 2D focusing NLS T Mizumachi | 25 | 2007 |
Time decay of small solutions to quadratic nonlinear Schrödinger equations in 3D N Hayashi, T Mizumachi, PI Naumkin | 23 | 2003 |
Asymptotic stability of solitary waves in the Benney-Luke model of water waves T Mizumachi, RL Pego, JR Quintero | 17 | 2013 |
Instability of bound states for 2D nonlinear Schrödinger equations T Mizumachi Discrete & Continuous Dynamical Systems-A 13 (2), 413-428, 2005 | 16 | 2005 |