Harry-Dym Hierarchy: Hereditary Operator and Ablowitz-Ramani-Segur Conjecture
عنوان مقاله: Harry-Dym Hierarchy: Hereditary Operator and Ablowitz-Ramani-Segur Conjecture
شناسه ملی مقاله: MATHPHY02_098
منتشر شده در دومین همایش ملی پژوهش های کاربردی در ریاضی و فیزیک در سال 1393
شناسه ملی مقاله: MATHPHY02_098
منتشر شده در دومین همایش ملی پژوهش های کاربردی در ریاضی و فیزیک در سال 1393
مشخصات نویسندگان مقاله:
H Sadeghi - Mathematics Department, Vali-e-Asr University, Rafsanjan, Iran.
S.M Hoseini - Mathematics Department, Vali-e-Asr University, Rafsanjan, Iran.
S. Eskandar - Mathematics Department, Vali-e-Asr University, Rafsanjan, Iran.
خلاصه مقاله:
H Sadeghi - Mathematics Department, Vali-e-Asr University, Rafsanjan, Iran.
S.M Hoseini - Mathematics Department, Vali-e-Asr University, Rafsanjan, Iran.
S. Eskandar - Mathematics Department, Vali-e-Asr University, Rafsanjan, Iran.
Using Lax representation, hereditary operator related to the Harry-Dym ( HD ) hierarchy is constructed. Also Lie analysis and Lax pair are used to drive the conserved quantities for the HD hierarchy. Lie symmetry method is also applied to study Painlev´e test for the family of HD hierarchy. It is found that for this family the Painlev´e property can be at most sufficient for integrability, but not necessary. This fact has been proved earlier for just first member of this family.
کلمات کلیدی: Lie analysis, conservation laws, hereditary operator, Painlev´e property, ARS conjecture
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/381140/