A mode elimination technique to improve convergence of iteration methods for finding solitary waves

[1]  J. Miller Numerical Analysis , 1966, Nature.

[2]  V. Petviashvili Equation of an extraordinary soliton , 1976 .

[3]  Ljudmila A. Bordag,et al.  Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their interaction , 1977 .

[4]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[5]  M. Weinstein Lyapunov stability of ground states of nonlinear dispersive evolution equations , 1986 .

[6]  Víctor M. Pérez-García,et al.  Optimizing Schrödinger Functionals Using Sobolev Gradients: Applications to Quantum Mechanics and Nonlinear Optics , 2001, SIAM J. Sci. Comput..

[7]  Dmitry Pelinovsky,et al.  Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations , 2004, SIAM J. Numer. Anal..

[8]  Valery S. Shchesnovich,et al.  Rayleigh functional for nonlinear systems , 2004 .

[9]  Qiang Du,et al.  Computing the Ground State Solution of Bose-Einstein Condensates by a Normalized Gradient Flow , 2003, SIAM J. Sci. Comput..

[10]  Jacques Laminie,et al.  Differential equations and solution of linear systems , 2005, Numerical Algorithms.

[11]  Laurent Demanet,et al.  Numerical verification of a gap condition for a linearized nonlinear Schrödinger equation , 2006 .

[12]  T. Lakoba,et al.  Universally‐Convergent Squared‐Operator Iteration Methods for Solitary Waves in General Nonlinear Wave Equations , 2007, nlin/0702033.

[13]  Taras I. Lakoba,et al.  A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity , 2007, J. Comput. Phys..