Results 31 to 40 of about 1,351 (136)
Soliton solutions for time fractional ocean engineering models with Beta derivative
Journal of Ocean Engineering and Science, 2022 In this study, the authors obtained the soliton and periodic wave solutions for time fractional symmetric regularized long wave equation (SRLW) and Ostrovsky equation (OE) both arising as a model in ocean engineering.
İbrahim Yalçınkaya +3 more
doaj +1 more source
Kink, periodic and solitary solutions for coupled Benjamin–Bona–Mahony–KdV system
Journal of Taibah University for Science, 2023 In this paper, exp[Formula: see text]-expansion method, modified extended tanh-function method and Kudryashov method are used to investigate the exact solutions of the coupled Benjamin–Bona–Mahony–KdV (BBM-KdV) system.
Yanzhi Ma, Zenggui Wang
doaj +1 more source
International Journal of Physical Research, 2016 In this study, we have implemented the modified extended tanh-function method to obtain the exact travelling wave solutions for the general (2+1)-dimensional nonlinear evolution equations. By using this method, some travelling wave solutions are successfully obtained and which have been expressed by the trigonometric, hyperbolic and rational functions.
Dipankar Kumar, Prodip Sarker
openaire +2 more sources
Three Different Methods for New Soliton Solutions of the Generalized NLS Equation
Abstract and Applied Analysis, 2017 Three different methods are applied to construct new types of solutions of nonlinear evolution equations. First, the Csch method is used to carry out the solutions; then the Extended Tanh-Coth method and the modified simple equation method are used to ...
Anwar Ja’afar Mohamad Jawad
doaj +1 more source
Results in Physics, 2020 In this paper, the new 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations newly announced are investigated with the introduction of the spatial and sequential fractional-order derivatives expending in the sense of conformable derivative.
Abdulla - Al - Mamun +6 more
doaj +1 more source
Results in PhysicsIn this paper, discover exact solutions of the space–time shifted nonlocal stochastic Sasa–Satsuma equations using the enhanced modified extended tanh-expansion method.
Zuha Manzoor +4 more
doaj +1 more source
MathematicsThis research employs the improved modified extended tanh-function technique to explore several solitary wave solutions to the fractional-order Fokas equation.
M. B. Almatrafi
doaj +1 more source
Partial Differential Equations in Applied MathematicsIn this study, we examine soliton solutions of extended (2+1)-dimensional Kadomtsev–Petviashvili equation arising in fluid mechanics and plasma physics.
Hamood Ur Rehman +4 more
doaj +1 more source
Applied Mathematics in Science and EngineeringSoliton solutions and chaotic analysis in integrable equations have become a hot topic in recent years. This work presents the qualitative dynamics and analytical solutions of (4+1)-D Boiti-Leon-Manna-Pempinelli (BLMP) model.
Khaled Aldwoah +5 more
doaj +1 more source
AIMS Mathematics<p>Higher-order nonlinear partial differential equations, such as the eighth-order Kac-Wakimoto model, are useful for studying wave turbulence in fluids, where energy transfers across a range of wave numbers. This phenomenon is observed in oceanographic research involving sea surface and internal waves, where intricate multi-dimensional ...
Wafaa B. Rabie +3 more
openaire +2 more sources