B¨acklund transformations for cosgrove's equation

Joint Authors

al-Shami, S. R.
al-Saqqa, A. H.

Source

Journal of al-Aqsa University : Series of Natural Sciences

Issue

Vol. 11, Issue 1 (31 Dec. 2007), pp.32-45, 14 p.

Publisher

al-Aqsa University Deanship of Graduate Studies and Scientific Research

Publication Date

2007-12-31

Country of Publication

Palestine (Gaza Strip)

No. of Pages

14

Main Subjects

Mathematics

Topics

Abstract AR

في هذا البحث ندرس تحويلات باكلاند لمعادلة كوسجروف F-XVIII.

سنستخدم تعميم لطريقة فوكس و أبلوتز لاستنتاج تحويلات باكلاند بين F-XVIII و معادلة تفاضلية جديدة من الرتبة الرابعة من نوع باتلفيا.

أيضا سوف نشتق أوتو-باكلاند و سنعطي حلول خاصة ل F-XVIII.

Abstract EN

In this paper we study B¨acklund transformations (BTs) for Cosgrove’s equation F-XVIII.

We use the generalization of Fokas and Ablowitz method to derive BT between F-XVIII and new fourth-order ordinary differential equations of Painlev´e type.

Moreover we derive auto BT and give special solutions for F-XVIII.

American Psychological Association (APA)

al-Saqqa, A. H.& al-Shami, S. R.. 2007. B¨acklund transformations for cosgrove's equation. Journal of al-Aqsa University : Series of Natural Sciences،Vol. 11, no. 1, pp.32-45.
https://search.emarefa.net/detail/BIM-277135

Modern Language Association (MLA)

al-Saqqa, A. H.& al-Shami, S. R.. B¨acklund transformations for cosgrove's equation. Journal of al-Aqsa University : Series of Natural Sciences Vol. 11, no. 1 (Dec. 2007), pp.32-45.
https://search.emarefa.net/detail/BIM-277135

American Medical Association (AMA)

al-Saqqa, A. H.& al-Shami, S. R.. B¨acklund transformations for cosgrove's equation. Journal of al-Aqsa University : Series of Natural Sciences. 2007. Vol. 11, no. 1, pp.32-45.
https://search.emarefa.net/detail/BIM-277135

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 44-45

Record ID

BIM-277135