Multiple soliton solutions for the integrable couplings of the KdV and the KP equations

• Authors: Abdul-Majid Wazwaz
• Languages of publication: EN

Abstracts

EN

In this work, we study the nonlinear integrable couplings of the KdV and the Kadomtsev-Petviashvili (KP) equations. The simplified Hirota’s method will be used for this study. We show that these couplings possess multiple soliton solutions the same as the multiple soliton solutions of the KdV and the KP equations, but differ only in the coefficients of the transformation used. This difference exhibits soliton solutions for some equations and anti-soliton solutions for others.

Keywords

EN

integrable couplings; simplified Hirota’s method

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 3
• Pages: 291-295

Dates

published

1 - 3 - 2013

online

28 - 3 - 2013

Contributors

author

Abdul-Majid Wazwaz

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

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Identifiers

DOI

10.2478/s11534-013-0183-7