Compacton, peakon and folded localized excitations for the \((2+1)\)-dimensional Broer-Kaup system
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Publication:1771665
DOI10.1016/j.chaos.2004.05.013zbMath1069.35053OpenAlexW2014635825MaRDI QIDQ1771665
Publication date: 18 April 2005
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2004.05.013
PDEs in connection with fluid mechanics (35Q35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (14)
A generalized \(F\)-expansion method with symbolic computation exactly solving Broer-Kaup equations ⋮ VARIATIONAL PRINCIPLE FOR (2 + 1)-DIMENSIONAL BROER–KAUP EQUATIONS WITH FRACTAL DERIVATIVES ⋮ A new general algebraic method and its applications to the (2+1)-dimensional Broer-Kaup-Kupershmidt equations ⋮ Variable separation solution for an extended (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ \(N\)-soliton solutions and localized structures for the \(2+1\)-dimensional Broer-Kaup-Kupershmidt system ⋮ A new generalization of variable coefficients algebraic method for solving nonlinear evolution equations ⋮ Double Wronskian solutions to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation ⋮ Combined structures of single valued and multiple valued localized excitations in higher-dimensional soliton system ⋮ New types of interactions between solitary waves in \((2+1)\)-dimensions ⋮ Doubly periodic wave and folded solitary wave solutions for \((2+1)\)-dimensional higher-order Broer-Kaup equation ⋮ Interactions among different types of solitary waves in \((2+1)\)-dimensional system ⋮ GENERAL VARIABLE SEPARATION SOLUTION AND EXOTIC LOCALIZED STRUCTURES OF NEW (2+1)-DIMENSIONAL SOLITON EQUATION ⋮ Application of an extended homogeneous balance method to new exact solutions of nonlinear evolution equations ⋮ The interactions of localized coherent structures for a \((2+1)\)-dimensional system
Cites Work
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- A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
- Peakons and periodic cusp waves in a generalized Camassa-Holm equation
- On the coherent structures of the Nizhnik-Novikov-Veselov equation
- Infinitely many Lax pairs and symmetry constraints of the KP equation
- Loop Soliton Solutions of String Interacting with External Field
- An integrable shallow water equation with peaked solitons
- Compactons: Solitons with finite wavelength
- Fractal Dromion, Fractal Lump, and Multiple Peakon Excitations in a (2 + 1)-Dimensional Broer–Kaup Equations
- Asymptotic dynamics of monochromatic short surface wind waves
- Particle methods for dispersive equations
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