Non-local symmetries, exact solutions and conservation laws for the coupled Lakshmanan–Porsezian–Daniel equations
FENG ZHANG YURU HU XIANGPENG XIN HANZE LIU
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The non-local symmetries of the coupled Lakshmanan–Porsezian–Daniel (LPD) equations are obtained with the help of the known Lax pair. By introducing an auxiliary variable, the coupled LPD equations are extended to a closed prolonged system and the non-local symmetries are localised to the Lie point symmetries of the prolonged system. Furthermore, based on the Lie point symmetries of the prolonged system, the exact solutions and non-local conservation laws of the coupled LPD equations are derived.
FENG ZHANG1 YURU HU1 XIANGPENG XIN1 HANZE LIU1
Volume 97, 2023
Continuous Article Publishing mode
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