New travelling wave solutions for the Fisher-KPP equation with general exponents
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作者:
Sánchez-Valdés, A
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Univ Rey Juan Carlos, ESCET, Edificio Departamental 2, Madrid 28933, SpainUniv Rey Juan Carlos, ESCET, Edificio Departamental 2, Madrid 28933, Spain
Sánchez-Valdés, A
[1
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Hernández-Bermejo, B
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Univ Rey Juan Carlos, ESCET, Edificio Departamental 2, Madrid 28933, SpainUniv Rey Juan Carlos, ESCET, Edificio Departamental 2, Madrid 28933, Spain
Hernández-Bermejo, B
[1
]
机构:
[1] Univ Rey Juan Carlos, ESCET, Edificio Departamental 2, Madrid 28933, Spain
The Fisher-KPP equation with general nonlinear diffusion and arbitrary kinetic orders in the reaction terms is considered. The existence of oscillatory travelling wave solutions is proved for this model. Conditions for the existence of such solutions are provided. (c) 2005 Elsevier Ltd. All rights reserved.
机构:
Meiji Univ, Sch Interdisciplinary Math Sci, Nakano Ku, Tokyo 1648525, JapanMeiji Univ, Sch Interdisciplinary Math Sci, Nakano Ku, Tokyo 1648525, Japan
Ninomiya, Hirokazu
Yanagida, Eiji
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Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, JapanMeiji Univ, Sch Interdisciplinary Math Sci, Nakano Ku, Tokyo 1648525, Japan
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Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R ChinaShanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China
Suo, Jinzhe
Tan, Kaiyuan
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Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China
Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R ChinaShanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China
机构:
Aoyama Gakuin Univ, Coll Sci & Engn, Dept Math & Phys, Chuo Ku, Sagamihara, Kanagawa 2525258, JapanAoyama Gakuin Univ, Coll Sci & Engn, Dept Math & Phys, Chuo Ku, Sagamihara, Kanagawa 2525258, Japan
机构:
Aix Marseille Univ, Centrale Marseille, CNRS, Inst Math Marseille,UMR 7373, F-13453 Marseille, France
Inst Univ France, Cergy Pontoise, FranceAix Marseille Univ, Centrale Marseille, CNRS, Inst Math Marseille,UMR 7373, F-13453 Marseille, France
Hamel, Francois
Ryzhik, Lenya
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Stanford Univ, Dept Math, Stanford, CA 94305 USAAix Marseille Univ, Centrale Marseille, CNRS, Inst Math Marseille,UMR 7373, F-13453 Marseille, France
机构:
Technion, Fac Ind Engn & Management, IL-3200003 Haifa, IsraelTechnion, Fac Ind Engn & Management, IL-3200003 Haifa, Israel
Mytnik, Leonid
Roquejoffre, Jean-Michel
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Inst Math Toulouse, F-31062 Toulouse 9, France
Univ Toulouse, UMR 5219, F-31062 Toulouse 9, France
CNRS, UPS IMT, F-31062 Toulouse 9, FranceTechnion, Fac Ind Engn & Management, IL-3200003 Haifa, Israel
Roquejoffre, Jean-Michel
Ryzhik, Lenya
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Stanford Univ, Dept Math, Stanford, CA 94350 USATechnion, Fac Ind Engn & Management, IL-3200003 Haifa, Israel