Solitary-wave solutions to a class of fifth-order model equations

Nonlinearity ◽  
1998 ◽  
Vol 11 (2) ◽  
pp. 341-353 ◽  
Author(s):  
M D Groves
Keyword(s):  
Solitary Wave ◽  
Solitary Wave Solutions ◽  
Order Model ◽  
Wave Solutions ◽  
Model Equations ◽  
Fifth Order

Exact Solitary-wave Solutions for the General Fifth-order Shallow Water-wave Models

1999 ◽  
Vol 54 (3-4) ◽  
pp. 272-274
Author(s):  
Woo-Pyo Hong ◽  
Young-Dae Jung
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Symbolic Computation ◽  
Water Wave ◽  
Model Parameters ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Special Cases ◽  
Wave Models ◽  
Fifth Order

We perform a computerized symbolic computation to find some general solitonic solutions for the general fifth-order shal-low water-wave models. Applying the tanh-typed method, we have found certain new exact solitary wave solutions. The pre-viously published solutions turn out to be special cases with restricted model parameters.

Solitary Wave Solutions of Three Extended Fifth Order Nonlinear Equations

2017 ◽  
Vol 6 (4) ◽  
pp. 570-572 ◽  
Author(s):  
Hamood ur Rehman ◽  
Muhammad Shoaib Saleem ◽  
Naeem Ullah ◽  
Abdul Ghaffar
Keyword(s):  
Solitary Wave ◽  
Nonlinear Equations ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Fifth Order

Auto-Bäcklund Transformation and Solitary-wave Solutions to Non- integrable Generalized Fifth-order Nonlinear Evolution Equations

1999 ◽  
Vol 54 (8-9) ◽  
pp. 549-553 ◽  
Author(s):  
Woo-Pyo Hong ◽  
Young-Dae Jung
Keyword(s):  
Solitary Wave ◽  
Symbolic Computation ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Solitary Wave Solutions ◽  
New Class ◽  
Wave Solutions ◽  
Fifth Order ◽  
Truncated Painlevé Expansion

We show that the application of the truncated Painlevé expansion and symbolic computation leads to a new class of analytical solitary-wave solutions to the general fifth-order nonlinear evolution equations which include Lax, Sawada-Kotera (SK), Kaup-Kupershmidt (KK), and Ito equations. Some explicit solitary-wave solutions are presented.

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