scholarly journals Traveling Wave Solutions For Two Physical Models via Extended Modified Kudryashov Method

2021 ◽  
pp. 625-634
Author(s):  
Şerife Müge EGE ◽  
Şerife Müge EGE
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Physical Models ◽  
Wave Solutions ◽  
Modified Kudryashov Method ◽  
Kudryashov Method

Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method

2020 ◽  
Vol 95 (7) ◽  
pp. 075217 ◽  
Author(s):  
H M Srivastava ◽  
D Baleanu ◽  
J A T Machado ◽  
M S Osman ◽  
H Rezazadeh ◽  
...  
Keyword(s):  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Directional Couplers ◽  
Wave Solutions ◽  
Modified Kudryashov Method ◽  
Kudryashov Method

Traveling wave solutions and conservation laws of a generalized Kudryashov–Sinelshchikov equation

2019 ◽  
Vol 25 (2) ◽  
pp. 211-217 ◽  
Author(s):  
Ben Muatjetjeja ◽  
Abdullahi Rashid Adem ◽  
Sivenathi Oscar Mbusi
Keyword(s):  
Heat Transfer ◽  
Evolution Equation ◽  
Conservation Laws ◽  
Traveling Wave ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Traveling Wave Solutions ◽  
Pressure Waves ◽  
Wave Solutions ◽  
Kudryashov Method

Abstract Kudryashov and Sinelshchikov proposed a nonlinear evolution equation that models the pressure waves in a mixture of liquid and gas bubbles by taking into account the viscosity of the liquid and the heat transfer. Conservation laws and exact solutions are computed for this underlying equation. In the analysis of this particular equation, two approaches are employed, namely, the multiplier method and Kudryashov method.

scholarly journals On traveling-wave solutions for the scaling-law telegraph equations

2020 ◽  
Vol 24 (6 Part B) ◽  
pp. 3861-3868
Author(s):  
Xiao-Jun Yang
Keyword(s):  
Traveling Wave ◽  
Scaling Law ◽  
Traveling Wave Solutions ◽  
Physical Models ◽  
Wave Solutions ◽  
Complex Topology ◽  
Telegraph Equations

The aim of the study is to address the scaling-law telegraph equations with the Mandelbrot-scaling-law derivative. The traveling-wave solutions with use of the Kohlrausch-Williams-Watts function are considered in detail. The works are proposed to describe the physical models in complex topology.

New traveling wave solutions of the perturbed nonlinear Schrödingers equation in the left-handed metamaterials

2018 ◽  
Vol 13 (01) ◽  
pp. 2050022 ◽  
Author(s):  
Alphonse Houwe ◽  
Mibaile Justin ◽  
Serge Y. Doka ◽  
Kofane Timoleon Crepin
Keyword(s):  
Exact Solutions ◽  
Traveling Wave ◽  
Fiber Optic ◽  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Simple Equation ◽  
Left Handed ◽  
Wave Solutions ◽  
Generalized Kudryashov Method ◽  
Kudryashov Method

This paper extracts the analytical soliton solutions of the perturbed NLSE given in (1). We use successfully two integration methods namely the extended simple equation method and generalized Kudryashov method. In view of the results obtained, some new additional ones have been obtained. The results are dark, bright and exact solutions that propagate in the fiber optic and left-handed metamaterials (LHMs).

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