scholarly journals Dynamical structures of interaction wave solutions for the two extended higher-order KdV equations

Pramana ◽  
2021 ◽  
Vol 95 (3) ◽  
Author(s):  
Zillur Rahman ◽  
M Zulfikar Ali ◽  
Harun-Or-Roshid ◽  
Mohammad Safi Ullah ◽  
Xiao-Yong Wen
Keyword(s):  
Higher Order ◽  
Kdv Equations ◽  
Wave Solutions

scholarly journals Higher Order Solitary Wave Solutions of the Standard KdV Equations

2021 ◽  
Vol 11 (01) ◽  
pp. 103-125
Author(s):  
Clovis Taki Djeumen Tchaho ◽  
Hugues Martial Omanda ◽  
Gaston N’tchayi Mbourou ◽  
Jean Roger Bogning ◽  
Timoléon Crépin Kofané
Keyword(s):  
Solitary Wave ◽  
Higher Order ◽  
Solitary Wave Solutions ◽  
Kdv Equations ◽  
Wave Solutions

scholarly journals Dynamical structures of interaction wave solutions for the two extended higher-order KdV equations

2020 ◽  
Author(s):  
Zillur Rahman ◽  
M Zulfikar Ali ◽  
Harun Or Roshid ◽  
Mohammad Safi Ullah ◽  
Xiao Yong Wen
Keyword(s):  
Higher Order ◽  
Kdv Equations ◽  
Wave Solutions

scholarly journals N-soliton solutions and the Hirota conditions in (1 + 1)-dimensions

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Wen-Xiu Ma
Keyword(s):  
Common Factors ◽  
Soliton Solutions ◽  
Higher Order ◽  
Kdv Equations ◽  
The Common ◽  
Bilinear Formulation ◽  
Generalized Kdv Equations ◽  
Hirota Bilinear

Abstract We analyze N-soliton solutions and explore the Hirota N-soliton conditions for scalar (1 + 1)-dimensional equations, within the Hirota bilinear formulation. An algorithm to verify the Hirota conditions is proposed by factoring out common factors out of the Hirota function in N wave vectors and comparing degrees of the involved polynomials containing the common factors. Applications to a class of generalized KdV equations and a class of generalized higher-order KdV equations are made, together with all proofs of the existence of N-soliton solutions to all equations in two classes.

scholarly journals Anti-periodic traveling wave solutions to a class of higher-order Kadomtsev-Petviashvili-Burgers equations

1994 ◽  
Vol 7 (1) ◽  
pp. 1-12
Author(s):  
Sergiu Aizicovici ◽  
Yun Gao ◽  
Shih-Liang Wen
Keyword(s):  
Traveling Wave ◽  
Continuous Dependence ◽  
Traveling Wave Solutions ◽  
Higher Order ◽  
Two Dimensional ◽  
Burgers Equations ◽  
Wave Solutions ◽  
Periodic Traveling Wave ◽  
Continuous Dependence On Data

We discuss the existence, uniqueness, and continuous dependence on data, of anti-periodic traveling wave solutions to higher order two-dimensional equations of Korteweg-deVries type.

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