Conjugate gradient method for finding fundamental solitary waves

DOI10.1016/j.physd.2009.09.013zbMath1180.37109arXiv0903.3266OpenAlexW2082218216MaRDI QIDQ845034

T. I. Lakoba

Publication date: 5 February 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3266

zbMATH Keywords

solitary wavesconjugate gradient methoditerative methodsnonlinear evolution equations

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Monotone flows as dynamical systems (37C65)

Related Items (6)

Newton-conjugate-gradient methods for solitary wave computations ⋮ Branch Cuts of Stokes Wave on Deep Water. Part I: Numerical Solution and Padé Approximation ⋮ Energy dissipating flows for solving nonlinear eigenpair problems ⋮ Convergence conditions for iterative methods seeking multi-component solitary waves with prescribed quadratic conserved quantities ⋮ Petviashvili type methods for traveling wave computations. I: Analysis of convergence ⋮ An extended Petviashvili method for the numerical generation of traveling and localized waves

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