Rational solutions to the KdV equation depending on multi-parameters

التفاصيل البيبلوغرافية
العنوان: Rational solutions to the KdV equation depending on multi-parameters
المؤلفون: Gaillard, Pierre
المساهمون: Institut de Mathématiques de Bourgogne Dijon (IMB), Université de Bourgogne (UB)-Université Bourgogne Franche-Comté COMUE (UBFC)-Centre National de la Recherche Scientifique (CNRS)
المصدر: https://hal.science/hal-03475728 ; 2021.
بيانات النشر: HAL CCSD
سنة النشر: 2021
المجموعة: Université de Bourgogne (UB): HAL
مصطلحات موضوعية: KdV equation, rational solutions PACS numbers : 33Q55, 37K10, 47.10A-, 47.35.Fg, 47.54.Bd, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
الوصف: We construct multi-parametric rational solutions to the KdV equation. For this, we use solutions in terms of exponentials depending on several parameters and take a limit when one of these parameters goes to 0. Here we present degenerate rational solutions and give a result without the presence of a limit as a quotient of polynomials depending on 3N parameters. We give the explicit expressions of some of these rational solutions.
نوع الوثيقة: report
اللغة: English
Relation: hal-03475728; https://hal.science/hal-03475728; https://hal.science/hal-03475728/document; https://hal.science/hal-03475728/file/hal%20KdV%20N%3D1-3%20PAR%204-6%20SP%20DIF%20PG%20CS%20V2%20RED.pdf
الاتاحة: https://hal.science/hal-03475728
https://hal.science/hal-03475728/document
https://hal.science/hal-03475728/file/hal%20KdV%20N%3D1-3%20PAR%204-6%20SP%20DIF%20PG%20CS%20V2%20RED.pdf
Rights: info:eu-repo/semantics/OpenAccess
رقم الانضمام: edsbas.24C4D4EC
قاعدة البيانات: BASE