-
1
-
-
85190293611
-
-
T.I. Lakoba, J. Yang, A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity, J. Comput. Phys., this issue, doi:10.1016/j.jcp.2007.06.009.
-
-
-
-
2
-
-
0038402861
-
Equation for an extraordinary soliton
-
Petviashvili V.I. Equation for an extraordinary soliton. Sov. J. Plasma Phys. 2 (1976) 257-258
-
(1976)
Sov. J. Plasma Phys.
, vol.2
, pp. 257-258
-
-
Petviashvili, V.I.1
-
3
-
-
0036344565
-
Optimizing Schrödinger functionals using Sobolev gradients: applications to quantum mechanics and nonlinear optics
-
Garcia-Ripoll J.J., and Perez-Garcia V.M. Optimizing Schrödinger functionals using Sobolev gradients: applications to quantum mechanics and nonlinear optics. SIAM J. Sci. Comput. 23 (2001) 1316-1334
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 1316-1334
-
-
Garcia-Ripoll, J.J.1
Perez-Garcia, V.M.2
-
4
-
-
6344289363
-
Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow
-
Bao W., and Du Q. Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. SIAM J. Sci. Comput. 25 (2004) 1674-1697
-
(2004)
SIAM J. Sci. Comput.
, vol.25
, pp. 1674-1697
-
-
Bao, W.1
Du, Q.2
-
5
-
-
85190237160
-
-
V.S. Shchesnovich, S.B. Cavalcanti, Rayleigh functional for nonlinear systems. Available from: (preprint nlin.PS/0411033).
-
-
-
-
6
-
-
85190285375
-
-
J. Yang, T.I. Lakoba, Convergence and acceleration of imaginary-time evolution methods for solitary waves in arbitrary spatial dimensions, submitted.
-
-
-
-
7
-
-
21244436462
-
Convergence of Petviashvili's iteration method for numerical approximation of stationary solutions of nonlinear wave equations
-
Pelinovsky D.E., and Stepanyants Yu.A. Convergence of Petviashvili's iteration method for numerical approximation of stationary solutions of nonlinear wave equations. SIAM J. Numer. Anal. 42 (2004) 1110-1127
-
(2004)
SIAM J. Numer. Anal.
, vol.42
, pp. 1110-1127
-
-
Pelinovsky, D.E.1
Stepanyants, Yu.A.2
-
8
-
-
33845976330
-
Universally-convergent squared-operator iteration methods for solitary waves in general nonlinear wave equations
-
Yang J., and Lakoba T. Universally-convergent squared-operator iteration methods for solitary waves in general nonlinear wave equations. Stud. Appl. Math. 118 (2007) 153-197
-
(2007)
Stud. Appl. Math.
, vol.118
, pp. 153-197
-
-
Yang, J.1
Lakoba, T.2
-
9
-
-
27844572414
-
Differential equations and solution of linear systems
-
Chehab J.-P., and Laminie J. Differential equations and solution of linear systems. Numer. Algorithms 40 (2005) 103-124
-
(2005)
Numer. Algorithms
, vol.40
, pp. 103-124
-
-
Chehab, J.-P.1
Laminie, J.2
-
10
-
-
0000585502
-
Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their interaction
-
Manakov S.V., Zakharov V.E., Bordag L.A., Its A.R., and Matveev V.B. Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their interaction. Phys. Lett. A 63 (1977) 205
-
(1977)
Phys. Lett. A
, vol.63
, pp. 205
-
-
Manakov, S.V.1
Zakharov, V.E.2
Bordag, L.A.3
Its, A.R.4
Matveev, V.B.5
-
11
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive evolution equations
-
Weinstein M. Lyapunov stability of ground states of nonlinear dispersive evolution equations. Comm. Pure Appl. Math. 39 (1986) 51-67
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, pp. 51-67
-
-
Weinstein, M.1
-
13
-
-
0004045886
-
-
Addison-Wesley Publishing Co., Reading Problem 8 for Section 4.3.2
-
Johnson L.W., and Riess R.D. Numerical Analysis (1977), Addison-Wesley Publishing Co., Reading Problem 8 for Section 4.3.2
-
(1977)
Numerical Analysis
-
-
Johnson, L.W.1
Riess, R.D.2
-
14
-
-
33645070786
-
Numerical verification of a gap condition for a linearized nonlinear Schrödinger equation
-
Demanet L., and Schlag W. Numerical verification of a gap condition for a linearized nonlinear Schrödinger equation. Nonlinearity 19 (2006) 829-852
-
(2006)
Nonlinearity
, vol.19
, pp. 829-852
-
-
Demanet, L.1
Schlag, W.2
|