Generalized solutions to fifth-order evolution equations

被引：1
|
作者：
Melo, MM [1 ]
机构：
[1] Univ Fed Goias, IME, BR-74001970 Goiania, Go, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 259卷 / 01期
关键词：
D O I：
10.1006/jmaa.2000.7368
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
I obtain results of existence and uniqueness of generalized solutions for the Cauchy problem to fifth-order evolution equations such as third member of Korteweg-de Vries hierarchy, Olver, Benney, and Fisher equations. I show that my results are associated with the solution obtained by Pence. (C) 2001 Academic Press.
引用
收藏
页码：25 / 45
页数：21
相关论文
共 50 条
  • [1] Kink solutions of two generalized fifth-order nonlinear evolution equations
    Zhang, Li-Li
    Yu, Jian-Ping
    Ma, Wen-Xiu
    Khalique, Chaudry Masood
    Sun, Yong-Li
    MODERN PHYSICS LETTERS B, 2022, 36 (03):
  • [2] Rough solutions of the fifth-order KdV equations
    Guo, Zihua
    Kwak, Chulkwang
    Kwon, Soonsik
    JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 265 (11) : 2791 - 2829
  • [3] New solutions for four novel generalized nonlinear fractional fifth-order equations
    Senol, Mehmet
    Akinyemi, Lanre
    Nkansah, Henrietta
    Adel, Waleed
    JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2024, 9 (01) : 59 - 65
  • [4] New solitary wave solutions for a class of fifth-order nolinear evolution equations
    Wuli Xuebao, 12 (1950-1951):
  • [5] Compacton solutions in a class of generalized fifth-order Korteweg-de Vries equations
    Cooper, F
    Hyman, JM
    Khare, A
    PHYSICAL REVIEW E, 2001, 64 (02): : 13
  • [6] EXACT SOLUTIONS OF SOME FIFTH-ORDER NONLINEAR EQUATIONS
    Liu Xiqiang\ Bai ChenglinInstitute of Appl.Phys. and Com putational Mathem atics
    Dept.of Math.
    AppliedMathematics:AJournalofChineseUniversities, 2000, (01) : 28 - 32
  • [7] Fifth-order evolution equations describing pseudospherical surfaces
    Gomes Neto, V. P.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (11) : 2822 - 2865
  • [8] Analytical solutions of the fifth-order time fractional nonlinear evolution equations by the unified method
    Majeed, Abdul
    Rafiq, Muhammad Naveed
    Kamran, Mohsin
    Abbas, Muhammad
    Inc, Mustafa
    MODERN PHYSICS LETTERS B, 2022, 36 (02):
  • [9] The numerical solutions for a class of fifth-order partial differential equations via generalized RKM methods
    Kadhim, Murtadha A.
    Cherati, Allah Bakhsh Yazdani
    Mechee, Mohammed Sahib
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2024, 27 (04) : 729 - 735
  • [10] On the Lie algebras, generalized symmetries and darboux transformations of the fifth-order evolution equations in shallow water
    Shoufu Tian
    Yufeng Zhang
    Binlu Feng
    Hongqing Zhang
    Chinese Annals of Mathematics, Series B, 2015, 36 : 543 - 560
12345