Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 94, Issue 1, Pages -Publisher
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-020-02005-9
Keywords
Integrability; deformed fifth-order Korteweg-de Vries equation; conservation laws; Lie symmetry analysis; 12; 60; Jv; 12; 10; Dm; 98; 80; Cq; 11; 30; Hv
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Funding
- Council of Scientific and Industrial Research (CSIR), New Delhi under Emeritus Scientist Scheme
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We consider a deformed fifth-order Korteweg-de Vries (D5oKdV) equation and investigated its integrability and group theoretical aspects. By extending the well-known Lax pair technique, we show that the D5oKdV equation admits a Lax representation provided that the deformed function satisfies certain differential constraint. It is observed that the D5oKdV equation admits the same differential constraint (on the deforming function) as that of the deformed Korteweg-de Vries (DKdV) equation. Using the Lax representation, we show that the D5oKdV equation admits infinitely many conservation laws, which guarantee its integrability. Finally, we apply the Lie symmetry analysis to the D5oKdV equation and derive its Lie point symmetries, the associated similarity reductions and the exact solutions.
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