Solitary waves solutions of singularly perturbed higher-order KdV equation via geometric singular perturbation method

2015 ◽  
Vol 80 (1-2) ◽  
pp. 629-635 ◽  
Author(s):  
Kaige Zhuang ◽  
Zengji Du ◽  
Xiaojie Lin
Keyword(s):  
Singular Perturbation ◽  
Perturbation Method ◽  
Solitary Waves ◽  
Kdv Equation ◽  
Higher Order ◽  
Singularly Perturbed ◽  
Singular Perturbation Method ◽  
Geometric Singular Perturbation ◽  
Geometric Singular Perturbation Method

scholarly journals Asymptotics of integrodifferential models with integrable kernels

2003 ◽  
Vol 2003 (25) ◽  
pp. 1577-1598 ◽  
Author(s):  
Angelina M. Bijura
Keyword(s):  
Singular Perturbation ◽  
Perturbation Method ◽  
Fractional Integration ◽  
Integrodifferential Equations ◽  
Singularly Perturbed ◽  
Asymptotic Solutions ◽  
Additive Decomposition ◽  
Singular Perturbation Method

The additive decomposition singular perturbation method and the theory of fractional integration are used to study asymptotic solutions of singularly perturbed Volterra integrodifferential equations with kernels having integrable singularity. The validity of the approximation is also demonstrated.

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