BLP dissipative structures in plane

DOI10.1016/S0375-9601(99)00626-XzbMath0983.37091arXivnlin/0507039MaRDI QIDQ1967036

Artyom V. Yurov

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0507039

zbMATH Keywords

blow-up solutionsBoiti-Leon-Pempinelli equationsDarboux and Laplace transformationslocalized nonsingular solutions

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (9)

Discrete symmetry’s chains and links between integrable equations ⋮ Some more invariant solutions of \((2+1)\)-water waves ⋮ Application of the Exp-function method to the (2+1)-dimensional Boiti–Leon–Pempinelli equation using symbolic computation ⋮ A look at the generalized Darboux transformations for the quasinormal spectra in Schwarzschild black hole perturbation theory: just how general should it be? ⋮ Note on same result of different ansätz based on extended tanh-function method for nonlinear models ⋮ Constructing rogue wave prototypes of nonlinear evolution equations via an extended tanh method ⋮ Comment on “Solitons, Bäcklund transformation, and Lax pair for the (2 + 1)-dimensional Boiti-Leon- Pempinelli equation for the water waves” [J. Math. Phys. 51, 093519 (2010)] ⋮ Solitons, Bäcklund transformation, and Lax pair for the (2+1)-dimensional Boiti–Leon–Pempinelli equation for the water waves ⋮ Lax pairs for higher-dimensional evolution PDEs and a 3+1 dimensional integrable generalization of the Burgers equation

Cites Work

• Unnamed Item
• On the localized solutions of the Davey-Stewartson-I equations
• Darboux transformation for Dirac equations with \((1+1)\) potentials
• Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations

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