This paper studies the modified Korteweg-de Vries equation with time variable coefficients of the damping and dispersion using Lie symmetry methods. We carry out Lie group classification with respect to the time-dependent coefficients. Lie point symmetries admitted by the mKdV equation for various f
The lie algebra of invariant group of the KdV, MKdV, or Burgers equation
β Scribed by Tu Gue-Zhang
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 280 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0377-9017
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π SIMILAR VOLUMES
a b s t r a c t Lie algebras and Lie super algebra are constructed and integrable couplings of NLS-MKdV hierarchy are obtained. Furthermore, its Hamiltonian and Super-Hamiltonian are presented by using of quadric-form identity and super-trace identity. The method can be used to produce the Hamiltoni
In this work we introduce new schemes, each combines two hyperbolic functions, to study the KdV, mKdV, and the generalized KdV equations. It is shown that this class of equations gives conventional solitons and periodic solutions. We also show that the proposed schemes develop sets of entirely new s