A Fifth-Order Korteweg-de Vries Equation for Shallow Water with Surface Tension: Multiple Soliton Solutions

• Authors: A. Wazwaz
• Languages of publication: EN

Abstracts

EN

In this work we study a fifth-order Korteweg-de Vries equation for shallow water with surface tension derived by Dullin et al. The fifth-order Korteweg-de Vries equation, derived by using the nonlinear/non-local transformations introduced by Kodama, and the Camassa-Holm equation with linear dispersion, have very different behaviors despite being asymptotically equivalent. We use the simplified form of the Hirota direct method to derive multiple soliton solutions for this equation.

Keywords

EN

02.70.Wz; 02.30.Lk; 02.30.Jr

Discipline

• 02.30.Jr: Partial differential equations
• 02.70.Wz: Symbolic computation (computer algebra)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 130
• Issue: 3
• Pages: 679-682

Dates

published

2016-09

received

2015-08-07

(unknown)

2016-03-03

Contributors

author

A. Wazwaz

• Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA

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Identifiers

DOI

10.12693/APhysPolA.130.679