Report
Rational solutions to the KdV equation depending on multi-parameters
العنوان: | Rational solutions to the KdV equation depending on multi-parameters |
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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 |
الوصف غير متاح. |