On a Solution on Non-Linear Time-Evolution Equation of Fifth Order

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概要

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• The non-linear fifth order differential equations :u,-l- (105 /16)<x" uu. - n.,.,=0,andOt 8 (1 05/ 1 6)>" ' I)1)x f ( 1 3/ +),5 " XJCX "XXXXE = '>have solutions :w:4'cn'(. .)z(a#)""(C 4o)>'Jetandv= (#) ' l sech' (A 6""(i 77o)) >respectively. Here cn (z, k) is the Jacobi cn-function of modulus k, with 1;=x -(21cxfit/S), 77=X -(9J't/4), positive constants at, fi, y, and c>', and any constantsCo llld 77o-

• 社団法人日本物理学会の論文
• 1981-05-15

著者

• Takizawa Ei

  Institute fur Angewandte Mathematik, Technische Fakultat, Staatliche Universitat zu Yokohama

• Takizawa Ei

  Institute Of Precision Mechanics Faculty Of Engineering Hokkaido University

• Takizawa Ei

  Institut Fur Theoretische Physik Der Rheinisch-west Falischen Technischen Hochschule:(present Addres

• YAMAMOTO Yosinori

  Institute of Precision Mechanics,Faculty of Engineering,Hokkaido University

• Yamamoto Yosinori

  Institute Of Precision Mechanics Faculty Of Engineering Hokkaido University

関連論文

• Einige Losungen der Nichtlinearen Gleichung des Zwei-Dimensionalen Toda-Gitters
• Solutions of Two-and Three-Dimensional Toda Lattice Equations in Terms of Various Forms of Bessel Functions
• The Backlund Transformation for the Generalized Toda Lattice Equation
• On a Solution on Non-Linear Time-Evolution Equation of Fifth Order
• Vector-Valued Linear Relaxation Systems
• Solutions of Non-Linear Differential Equation (∂u)/(∂t)+(45)/2∂^2u^2(∂u)/(∂x)-(∂^5u)/(∂x^5)=0

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