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- Title
Some new soliton solutions for the nonlinear the fifth-order integrable equations.
- Authors
Lakestani, Mehrdad; Manafian, Jalil; Najafizadeh, Ali Reza; Partohaghighi, Mohammad
- Abstract
In this work, we established some exact solutions for the (1 + 1)-dimensional and (2 + 1)-dimensional fifth-order integrable equations ((1 + 1)D and (2 + 1)D FOIEs) which is considered based on the improved tanh(ϕ(ξ)/2)- expansion method (IThEM), by utilizing Maple software. We obtained new periodic solitary wave solutions. The obtained solutions include soliton, periodic, kink, kink-singular wave solutions. Comparing our new results with Wazwaz results, namely, the Hereman-Nuseri method shows that our results give further solutions. Many other such types of nonlinear equations arise in fluid dynamics, plasma physics, and nonlinear physics.
- Subjects
SOLITONS; NONLINEAR equations; PLASMA physics; FRACTIONAL calculus; FINITE difference method
- Publication
Computational Methods for Differential Equations, 2022, Vol 10, Issue 2, p445
- ISSN
2345-3982
- Publication type
Article
- DOI
10.22034/cmde.2020.30833.1462