|
Title
|
Soliton solutions to a few fractional nonlinear evolution equations in shallow water wave dynamics
|
|
Type
|
JournalPaper
|
|
Keywords
|
few fractional nonlinear evolution Soliton solutions
|
|
Abstract
|
This paper studies a few nonlinear evolution equations that appear with fractional temporal evolution and fractional spatial derivatives. These are Benjamin-Bona-Mahoney equation, dispersive long wave equation and Nizhnik-Novikov-Veselov equation. The extended Jacobi’s elliptic function expansion method is implemented to obtain soliton and other periodic singular solutions to these equations. In the limiting case, when the modulus of ellipticity approaches zero or unity, these doubly periodic functions approach solitary waves or shock waves or periodic singular solutions emerge.
|
|
Researchers
|
Anjan Biswas (Not In First Six Researchers), Mostafa Eslami (Fifth Researcher), Sami Ortakaya Sami Ortakaya (Fourth Researcher), A Sonmezoglu (Third Researcher), Mehmet Ekici (Second Researcher), mohammad Mirzazadeh (First Researcher)
|