A new family of evolution water-wave equations possessing two-soliton solutions
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Publication:407966
DOI10.1016/j.physleta.2009.09.051zbMath1234.76009OpenAlexW2144177597MaRDI QIDQ407966
Publication date: 28 March 2012
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2009.09.051
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton solutions (35C08)
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Cites Work
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- Solitons and infinite dimensional Lie algebras
- The Hénon-Heiles system revisited
- Lie-Bäcklund symmetries of linear ODEs and generalized separation of variables in nonlinear equations
- On soliton solutions of the Kaup-Kupershmidt equation. I: Direct bilinearisation and solitary wave
- On soliton solutions of the Kaup-Kupershmidt equation. II: `Anomalous' \(N\)-soliton solutions
- A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
- The Painlevé property for partial differential equations
- On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
- The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants
- Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
- A new hierarchy of Korteweg–de Vries equations
- Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
- Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
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