Spectral and dynamical stability of nonlinear waves T Kapitula, K Promislow Springer, 2013 | 371 | 2013 |

Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations T Kapitula, B Sandstede Physica D: Nonlinear Phenomena 124 (1-3), 58-103, 1998 | 284 | 1998 |

Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems T Kapitula, PG Kevrekidis, B Sandstede Physica D: Nonlinear Phenomena 195 (3-4), 263-282, 2004 | 220 | 2004 |

Stability of travelling waves for non‐convex scalar viscous conservation laws CKRT Jones, R Gardner, T Kapitula Communications on Pure and Applied Mathematics 46 (4), 505-526, 1993 | 135 | 1993 |

On the spectra of periodic waves for infinite-dimensional Hamiltonian systems M Haˇraˇguş, T Kapitula Physica D: Nonlinear Phenomena 237 (20), 2649-2671, 2008 | 130 | 2008 |

Multidimensional stability of planar travelling waves T Kapitula Transactions of the American Mathematical Society 349 (1), 257-269, 1997 | 112 | 1997 |

On the stability of traveling waves in weighted L∞ spaces T Kapitula Journal of Differential equations 112 (1), 179-215, 1994 | 99 | 1994 |

The Evans function for nonlocal equations T Kapitula, N Kutz, B Sandstede Indiana University mathematics journal, 1095-1126, 2004 | 98 | 2004 |

The Evans function and generalized Melnikov integrals T Kapitula SIAM journal on mathematical analysis 30 (2), 273-297, 1999 | 89 | 1999 |

Stability of pulses in the master mode-locking equation T Kapitula, JN Kutz, B Sandstede JOSA B 19 (4), 740-746, 2002 | 80 | 2002 |

Edge bifurcations for near integrable systems via Evans function techniques T Kapitula, B Sandstede SIAM journal on mathematical analysis 33 (5), 1117-1143, 2002 | 77 | 2002 |

Stability of multiple pulses in discrete systems T Kapitula, PG Kevrekidis, BA Malomed Physical Review E 63 (3), 036604, 2001 | 72 | 2001 |

Instability mechanism for bright solitary-wave solutions to the cubic–quintic Ginzburg–Landau equation T Kapitula, B Sandstede JOSA B 15 (11), 2757-2762, 1998 | 70 | 1998 |

Stability criterion for bright solitary waves of the perturbed cubic-quintic Schrödinger equation T Kapitula Physica D: Nonlinear Phenomena 116 (1-2), 95-120, 1998 | 67 | 1998 |

An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type JC Bronski, MA Johnson, T Kapitula Proceedings of the Royal Society of Edinburgh Section A: Mathematics 141 (6 …, 2011 | 65 | 2011 |

Three is a crowd: Solitary waves in photorefractive media with three potential wells T Kapitula, PG Kevrekidis, Z Chen SIAM Journal on Applied Dynamical Systems 5 (4), 598-633, 2006 | 59 | 2006 |

Stability of waves in discrete systems T Kapitula, P Kevrekidis Nonlinearity 14 (3), 533, 2001 | 52 | 2001 |

Bose–Einstein condensates in the presence of a magnetic trap and optical lattice: two-mode approximation T Kapitula, PG Kevrekidis Nonlinearity 18 (6), 2491, 2005 | 49 | 2005 |

Existence and stability of standing hole solutions to complex Ginzburg-Landau equations T Kapitula, J Rubin Nonlinearity 13 (1), 77, 2000 | 49 | 2000 |

Stability of waves in perturbed Hamiltonian systems T Kapitula Physica D: Nonlinear Phenomena 156 (1-2), 186-200, 2001 | 48 | 2001 |