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Description
  • We carry out group analysis of a class of generalized fifth-order Korteweg–de Vries equations with time dependent coefficients. Admissible transformations, Lie symmetries and similarity reductions of equations from the class are classified exhaustively. A criterion of reducibility of variable coefficient fifth-order KdV equations to their constant coefficient counterparts is derived. Some exact solutions are presented.
  • We carry out group analysis of a class of generalized fifth-order Korteweg–de Vries equations with time dependent coefficients. Admissible transformations, Lie symmetries and similarity reductions of equations from the class are classified exhaustively. A criterion of reducibility of variable coefficient fifth-order KdV equations to their constant coefficient counterparts is derived. Some exact solutions are presented. (en)
Title
  • Group Analysis of Variable Coefficient Generalized Fifth-Order KdV Equations
  • Group Analysis of Variable Coefficient Generalized Fifth-Order KdV Equations (en)
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  • Group Analysis of Variable Coefficient Generalized Fifth-Order KdV Equations
  • Group Analysis of Variable Coefficient Generalized Fifth-Order KdV Equations (en)
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  • RIV/68407700:21340/14:00222522!RIV15-MSM-21340___
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  • 18643
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  • RIV/68407700:21340/14:00222522
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  • KdV equations; group analysis; time-dependent coefficients; admissible transformations; differential equation; exact solution (en)
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  • DE - Spolková republika Německo
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  • Physics of Particles and Nuclei Letters
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  • 11
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  • Pošta, Severin
  • Kuriksha, O.
  • Vaneeva, O.
issn
  • 1547-4771
number of pages
http://bibframe.org/vocab/doi
  • 10.1134/S1547477114070280
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  • 21340
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