Soliton solutions and traveling wave solutions for a discrete electrical lattice with nonlinear dispersion through the generalized Riccati equation mapping method

In this paper, through the generalized Riccati equation mapping method, we investigate soliton solutions in the upper and lower forbidden band gab of the Salerno equation describing nonlinear discrete electrical lattice. As a result, we obtain various hyperbolic and trigonometric functions solutions...

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Published inNonlinear dynamics Vol. 87; no. 4; pp. 2435 - 2443
Main Authors Salathiel, Yakada, Amadou, Yaouba, Betchewe, Gambo, Doka, Serge Y., Crepin, Kofane T.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.03.2017
Springer Nature B.V
Subjects
Automotive Engineering
Breathers
Classical Mechanics
Control
Dynamical Systems
Engineering
Exact solutions
Forbidden bands
Lattices
Mapping
Mathematical analysis
Mechanical Engineering
Nonlinearity
Original Paper
Riccati equation
Signal transmission
Solitary waves
Solitons
Traveling waves
Trigonometric functions
Vibration
Nonlinear transmission line
Forbidden band gab
Generalized Riccati equation mapping method
Exact soliton solutions
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Summary:In this paper, through the generalized Riccati equation mapping method, we investigate soliton solutions in the upper and lower forbidden band gab of the Salerno equation describing nonlinear discrete electrical lattice. As a result, we obtain various hyperbolic and trigonometric functions solutions and for some appropriated parameters we obtain exact solutions including kink, antikink, breathers, and dark and bright solitons. The obtained solutions are useful for the signal transmission through the electrical lattice.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-3201-7