Additional conservation laws for Rosenau-KdV-RLW equation with power law nonlinearity by Lie symmetry
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Publication:494924
DOI10.1007/s11071-014-1700-yzbMath1331.35023OpenAlexW2043014870MaRDI QIDQ494924
Anjan Biswas, Polina Razborova, Abdul Hamid Kara
Publication date: 2 September 2015
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-014-1700-y
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
- Computation of conservation laws for nonlinear lattices
- Elastic interactions between multi-valued foldons and anti-foldons for the \({(2+1)}\)-dimensional variable coefficient Broer-Kaup system in water waves
- Symbolic computation of conservation laws of nonlinear partial differential equations in multi‐dimensions
- Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
- A Symmetry Invariance Analysis of the Multipliers & Conservation Laws of the Jaulent–Miodek and Some Families of Systems of KdV Type Equations
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