Fei Justina Liu, Tai-Peng Tsai, Ian Zwiers, “Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities”, Nonlinear Analysis, 211, 2021, 112409
David Chiron, “Stability and instability for subsonic traveling waves of the nonlinear Schrödinger equation in dimension one”, Anal. PDE, 6, № 6, 2013, 1327
Zhiwu Lin, “Instability of nonlinear dispersive solitary waves”, Journal of Functional Analysis, 255, № 5, 2008, 1191
J.L. Marzuola, S. Raynor, G. Simpson, “Dynamics near a minimal-mass soliton for a Korteweg–de Vries equation”, Dynamical Systems, 29, № 2, 2014, 285
Dmitry Pelinovsky, Ranis N. Ibragimov, “Normal form for transverse instability of the line soliton with a nearly critical speed of propagation”, Math. Model. Nat. Phenom., 13, № 2, 2018, 23
Andrew Comech, Tuoc Van Phan, Atanas Stefanov, “Asymptotic stability of solitary waves in generalized Gross–Neveu model”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 34, № 1, 2017, 157
Todd Kapitula, Keith Promislow, 185, Spectral and Dynamical Stability of Nonlinear Waves, 2013, 117
Xiao Liu, Gideon Simpson, Catherine Sulem, “Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation”, J Nonlinear Sci, 23, № 4, 2013, 557
Anna Geyer, Yue Liu, Dmitry E. Pelinovsky, “On the transverse stability of smooth solitary waves in a two-dimensional Camassa–Holm equation”, Journal de Mathématiques Pures et Appliquées, 188, 2024, 1
Rui Jia, Yifei Wu, “Instability of the solitary waves for the generalized Benjamin-Bona-Mahony equation”, Calc. Var., 64, № 4, 2025, 124