Travelling wave solutions for a higher order wave equations of KdV type. I
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Publication:1771618
DOI10.1016/j.chaos.2004.04.027zbMath1069.35075OpenAlexW2028691059MaRDI QIDQ1771618
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.2004.04.027
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
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Cites Work
- Unnamed Item
- On a class of physically important integrable equations
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons
- Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions
- Interactions and stability of solitary waves in shallow water.
- Traveling wave solutions for a class of nonlinear dispersive equations
- Soliton-like solutions of higher order wave equations of the Korteweg–de Vries type
- Smooth and non-smooth traveling waves in a nonlinearly dispersive equation