NUMERICAL SOLUTIONS OF A VECTOR GINZBURG–LANDAU EQUATION WITH A TRIPLE-WELL POTENTIAL

DOI10.1142/S0218127403008740zbMath1067.82064MaRDI QIDQ4655529

John M. Neuberger, Dennis R. Jun. Rice, James W. Swift

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

bifurcation theorytriple junctionequivariant branching lemmagradient Newton Galerkin algorithm (or GNGA)Semilinear elliptic partial differential equation (or PDE)

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Statistical mechanics of superconductors (82D55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Numerical bifurcation problems (65P30)

Related Items (1)

Optical solitons with complex Ginzburg-Landau equation for two nonlinear forms using \(F\)-expansion

Cites Work

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• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Stepsize selection in continuation procedures and damped Newton's method
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• Elliptic Partial Differential Equations of Second Order
• Branch switching at a corank-4 bifurcation point of semi-linear elliptic problems with symmetry
• Local minimisers of a three-phase partition problem with triple junctions
• NEWTON'S METHOD AND MORSE INDEX FOR SEMILINEAR ELLIPTIC PDEs
• Sobolev gradients and differential equations
• Higher energy solutions in the theory of phase transitions: A variational approach

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