scholarly journals Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

2021 ◽  
Author(s):  
Sachin Kumar ◽  
Monika Niwas ◽  
Shubham Kumar Dhiman
Keyword(s):  
Soliton Solutions ◽  
Mathematical Physics ◽  
Wave Profiles

Dispersive traveling wave solutions of nonlinear optical wave dynamical models

2019 ◽  
Vol 33 (10) ◽  
pp. 1950120 ◽  
Author(s):  
Wilson Osafo Apeanti ◽  
Dianchen Lu ◽  
David Yaro ◽  
Saviour Worianyo Akuamoah
Keyword(s):  
Physical Properties ◽  
Nonlinear Equations ◽  
Traveling Wave ◽  
Nonlinear Optical ◽  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Mathematical Physics ◽  
Dynamical Models ◽  
Optical Wave ◽  
Wave Solutions

In this work, we apply the extended simple equation method to study the dispersive traveling wave solutions of (2+1)-dimensional Nizhnik–Novikov–Vesselov (NNV), Caudrey–Dodd–Gibbon (CDG) and Jaulent–Miodek (JM) hierarchy nonlinear equations. A set of exact, periodic and soliton solutions is obtained for these models confirming the effectiveness of the proposed method. The models studied are important for a number of application areas especially in the field of mathematical physics. Interesting figures are used to illustrate the physical properties of some obtained results. A comparison between obtained solutions and established results in the literature is also given.

New Soliton Solutions of Chaffee-Infante Equations Using the Exp-Function Method

2010 ◽  
Vol 65 (3) ◽  
pp. 197-202 ◽  
Author(s):  
Rathinasamy Sakthivel ◽  
Changbum Chun
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Symbolic Computation ◽  
Function Method ◽  
Nonlinear Partial Differential Equations ◽  
Soliton Solutions ◽  
Mathematical Physics ◽  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
Wave Solutions

In this paper, the exp-function method is applied by using symbolic computation to construct a variety of new generalized solitonary solutions for the Chaffee-Infante equation with distinct physical structures. The results reveal that the exp-function method is suited for finding travelling wave solutions of nonlinear partial differential equations arising in mathematical physics

scholarly journals The new exact solitary solutions for the (3+1)-dimensional Zakharov-Kuznetsov equation using the Riccati equation

2020 ◽  
Vol 24 (6 Part B) ◽  
pp. 3995-4000
Author(s):  
Xiao-Jun Yin ◽  
Quan-Sheng Liu ◽  
Lian-Gui Yang ◽  
N Narenmandula
Keyword(s):  
Exact Solutions ◽  
Periodic Solutions ◽  
Riccati Equation ◽  
Electrostatic Potential ◽  
Soliton Solutions ◽  
Mathematical Physics ◽  
The Other ◽  
Equation Method ◽  
Wave Solutions ◽  
Solitary Solutions

In this paper, a non-linear (3+1)-dimensional Zakharov-Kuznetsov equation is investigated by employing the subsidiary equation method, which arises in quantum magneto plasma. The periodic solutions, rational wave solutions, soliton solutions for the quantum Zakharov-Kuznetsov equation which play an important role in mathematical physics are obtained with the help of the Riccati equation expan?sion method. Meanwhile, the electrostatic potential can be accordingly obtained. Compared to the other methods, the exact solutions obtained will extend on earlier reports by using the Riccati equation.

Solitary wave solutions of Kaup–Newell optical fiber model in mathematical physics and its modulation instability

2020 ◽  
Vol 34 (26) ◽  
pp. 2050277
Author(s):  
Muhammad Arshad ◽  
Aly R. Seadawy ◽  
Dianchen Lu ◽  
Farhan Ali
Keyword(s):  
Optical Fiber ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Mathematical Physics ◽  
Solitary Wave Solutions ◽  
Trigonometric Functions ◽  
Fiber Model ◽  
Wave Solutions ◽  
Long Wave ◽  
Expansion Scheme

Soliton solutions which signify long wave parallel to the magnetic fields of Kaup–Newell optical fiber model are discussed in this paper by two different methods. The improved simple equation method (ISEM) and exp[Formula: see text]-expansion scheme are employed to solve the model to construct the solutions of the model in different cases. The achieved solutions are represented in different and general forms such as logarithmic or exponential function, trigonometric and hyperbolic trigonometric functions, etc. Also, the modulation instability of the model is analyzed which confirms that all obtained exact results are stable. Several solutions from achieved solutions are novel.

Multiple wave solutions for nonlinear burgers equations using the multiple exp-function method

2021 ◽  
pp. 2150149
Author(s):  
Khaled A. Gepreel ◽  
E. M. E. Zayed
Keyword(s):  
Traveling Wave ◽  
Software Package ◽  
Function Method ◽  
Nonlinear Partial Differential Equations ◽  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Mathematical Physics ◽  
Multiple Wave ◽  
Wave Solutions ◽  
The One

In this paper, we use the multiple exp-function method to explicity present traveling wave solutions, double-traveling wave (DTW) solutions and triple-traveling wave solutions (TWs) which include one-soliton, double-soliton and triple-soliton solutions for nonlinear partial differential equations (NPDEs) via, the (2+1)-dimensional and (3+1)-dimensional nonlinear Burgers PDEs in mathematical physics. In this work, we build some series of straightforward and new solutions successfully with the help of a computerized symbol computational software package like Maple or Mathematica. We will make some drawings in some cases with specific values for the relevant parameters for each obtained solutions such as the one-traveling wave solutions, double-traveling wave solutions and TWs. This method is efficient and powerful in solving a wide class of NPDEs.

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