Variable-coefficient discrete tanh method and its application to ()-dimensional Toda equation

2009 ◽  
Vol 373 (33) ◽  
pp. 2905-2910 ◽  
Author(s):  
Sheng Zhang ◽  
Hong-Qing Zhang
Keyword(s):  
Variable Coefficient ◽  
Toda Equation ◽  
Tanh Method

Notiz: Report on the Generalized Tanh Method Extended to a Variable-Coefficient Korteweg-de Vries Equation

1997 ◽  
Vol 52 (5) ◽  
pp. 462
Author(s):  
Bo Tian ◽  
Yi-Tian Gao
Keyword(s):  
Variable Coefficient ◽  
Vries Equation ◽  
Similar Work ◽  
Tanh Method ◽  
De Vries

Abstract We briefly report that the generalized tanh method can be extended from the situation with coefficient constants to that with coefficient functions. Soliton-typed solutions for a vari-able-coefficient Korteweg-de Vries equation are thus found. Similar work can be done for the generalized variable-coefficient Kadomtsev-Petviashvili equations.

scholarly journals A New 2 + 1-Dimensional Integrable Variable Coefficient Toda Equation

2021 ◽  
Vol 09 (08) ◽  
pp. 2152-2158
Author(s):  
Yanan Huang ◽  
Junhong Yao ◽  
Ting Su
Keyword(s):  
Variable Coefficient ◽  
Toda Equation

Eigenvalue Problem for the Second Order Differential Equation with Nonlocal

2006 ◽  
Vol 11 (1) ◽  
pp. 13-32 ◽  
Author(s):  
B. Bandyrskii ◽  
I. Lazurchak ◽  
V. Makarov ◽  
M. Sapagovas
Keyword(s):  
Differential Equation ◽  
Eigenvalue Problem ◽  
Variable Coefficient ◽  
Order Differential Equation ◽  
Integral Condition ◽  
Second Order ◽  
Computational Results ◽  
Discrete Method ◽  
Complex Eigenvalues ◽  
Nonlocal Integral Condition

The paper deals with numerical methods for eigenvalue problem for the second order ordinary differential operator with variable coefficient subject to nonlocal integral condition. FD-method (functional-discrete method) is derived and analyzed for calculating of eigenvalues, particulary complex eigenvalues. The convergence of FD-method is proved. Finally numerical procedures are suggested and computational results are schown.

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