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Waves in Random and Complex Media Volume 29, 2019 - Issue 2
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Articles

A variety of negative-order integrable KdV equations of higher orders

Abdul-Majid WazwazDepartment of Mathematics, Saint Xavier University, Chicago, IL, USA.Correspondence[email protected]
Pages 195-203 | Received 07 Sep 2017, Accepted 18 Dec 2017, Published online: 03 Jan 2018
 
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ABSTRACT

We develop a variety of negative-order integrable KdV equations of higher orders. We use the inverse recursion operator to construct these new equations. The complete integrability of each established equation is investigated via the Painlevé test, where each equation shows distinct branch of resonances. We use the simplified form of the Hirota’s direct method to obtain multiple soliton solutions for the generalized negative-order KdV equation.

Notes

No potential conflict of interest was reported by the author.

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