Novel hybrid-type solutions for the (3+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation with time-dependent coefficients

In this article, the bilinear form, Bäcklund transformation, Lax pair and infinite conservation laws of the (3+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation with time-dependent coefficients are constructed based on the Bell polynomials approach. N-soliton solutions are studied by m...

Full description

Saved in:
Bibliographic Details
Published inNonlinear dynamics Vol. 107; no. 1; pp. 1163 - 1177
Main Authors Han, Peng-Fei, Bao, Taogetusang
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.01.2022
Springer Nature B.V
Subjects
Automotive Engineering
Classical Mechanics
Combinatorial analysis
Conservation laws
Control
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Polynomials
Propagation
Propagation velocity
Solitary waves
Test methods
Time dependence
Vibration
Wave interaction
Wave propagation
Hybrid-type solutions
(3+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation with time-dependent coefficients
Bell polynomials approach
Infinite conservation laws
Hirota bilinear method
Bäcklund transformation
Homoclinic test method
Online AccessGet full text

Cover

More Information
Summary:In this article, the bilinear form, Bäcklund transformation, Lax pair and infinite conservation laws of the (3+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation with time-dependent coefficients are constructed based on the Bell polynomials approach. N-soliton solutions are studied by means of introducing the complex conjugate condition technique and selecting appropriate test functions and parameters, including the hybrid solution of the a -order kink waves, b -order periodic-kink waves and c -order periodic-breather waves. The homoclinic test method is applied to investigate their dynamical interaction properties between different forms of hybrid-type solutions. Besides, a number of examples are presented by choosing different types of interactions among the hybrid-type solutions. Finally, we analyze the wave propagation direction and velocity to reflect the novel evolutionary behaviors in the three-dimensional profile of the model. These results are helpful to the study of local wave interactions in nonlinear mathematical physics.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-07019-5