scholarly journals The Periodic Solitary Wave Solutions for the (2 + 1)-Dimensional Fifth-Order KdV Equation

2014 ◽  
Vol 02 (07) ◽  
pp. 639-643 ◽  
Author(s):  
Xianghua Meng
Keyword(s):  
Solitary Wave ◽  
Kdv Equation ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Fifth Order

The study of complexitons and periodic solitary-wave solutions with fifth-order KdV equation in (2+1) dimensions

2019 ◽  
Vol 33 (33) ◽  
pp. 1950411 ◽  
Author(s):  
Muhammad Tahir ◽  
Aziz Ullah Awan
Keyword(s):  
Solitary Wave ◽  
Bilinear Form ◽  
Kdv Equation ◽  
Three Dimensional ◽  
Solitary Wave Solutions ◽  
Test Technique ◽  
Wave Solutions ◽  
Complexiton Solutions ◽  
Hirota’S Bilinear Form ◽  
Fifth Order

In this paper, the generalized fifth-order (2[Formula: see text]+[Formula: see text]1)-dimensional KdV equation is scrutinized via the extended homoclinic test technique (EHTT) and extended transformed rational function (ETRF) method. With the aid of Hirota’s bilinear form, various exact solutions comprising, periodic solitary-wave, kinky-periodic solitary-wave, periodic soliton and complexiton solutions are constructed. Moreover, the mechanical features and dynamic characteristics of the obtained solutions are presented by three-dimensional plots.

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
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