scientific article; zbMATH DE number 6139964

zbMath1261.65132MaRDI QIDQ4906860

Görkem Şimşek, Bülent Karasözen

Publication date: 28 February 2013

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

numerical resultssolitary wavesnumerical examplesdispersionPoisson structuresolitonsKdV equationtraveling wavesbi-Hamiltonian systemsenergy preservation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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Exponential B-splines for numerical solutions to some Boussinesq systems for water waves ⋮ Structure-preserving reduced-order modeling of Korteweg-de Vries equation

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