On the reduction of some dispersionless integrable systems

DOI10.1007/S10440-014-9909-9zbMath1295.70009OpenAlexW1982889869MaRDI QIDQ404866

Abdul Hamid Kara

Publication date: 4 September 2014

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-014-9909-9

zbMATH Keywords

dispersionless dKPheavenly equations and reductions

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (2)

Lie symmetries, group classification and conserved quantities of dispersionless Manakov-Santini system in \((2+1)\)-dimension ⋮ Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation

Cites Work

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• The dispersionless 2D Toda equation: dressing, Cauchy problem, longtime behaviour, implicit solutions and wave breaking
• A Basis of Conservation Laws for Partial Differential Equations
• A Symmetry Invariance Analysis of the Multipliers & Conservation Laws of the Jaulent–Miodek and Some Families of Systems of KdV Type Equations
• Symmetries and differential equations

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