Further extension of the improved hyperbolic function method with application to general Sawada–Kotera equation of fifth-order, The 3D potential-YTSF equation and (mKdV) equation.
In this study, a new improved hyperbolic function method is applied for the first time. The proposed method used to calculate more general exact solutions for the general Sawada–Kotera equation of fifth-order, 3D potential-YTSF equation and modified Korteweg-de Vries (mKdV) equation. The obtained r...
| Published in: | Tikrit Journal of Pure Science |
|---|---|
| Main Author: | Wafaa M. Taha |
| Format: | Article |
| Language: | English |
| Published: |
Tikrit University
2018-08-01
|
| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/533 |
Similar Items
Nonlinear superposition between lump soliton and other nonlinear localized waves for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation
by: Longxing Li, et al.
Published: (2023-06-01)
by: Longxing Li, et al.
Published: (2023-06-01)
An efficient approach for the numerical solution of fifth-order KdV equations
by: Ahmad Hijaz, et al.
Published: (2020-07-01)
by: Ahmad Hijaz, et al.
Published: (2020-07-01)
Abundant periodic wave solutions for fifth-order Sawada-Kotera equations
by: Muhammad Tahir, et al.
Published: (2020-06-01)
by: Muhammad Tahir, et al.
Published: (2020-06-01)
Extended F-Expansion Method for Solving the modified Korteweg-de Vries (mKdV) Equation
by: Vina Apriliani, et al.
Published: (2020-06-01)
by: Vina Apriliani, et al.
Published: (2020-06-01)
Two efficient reliable methods for solving fractional fifth order modified Sawada–Kotera equation appearing in mathematical physics
by: S. Saha Ray, et al.
Published: (2016-09-01)
by: S. Saha Ray, et al.
Published: (2016-09-01)
Dynamical and Computational Analysis of Fractional Korteweg–de Vries-Burgers and Sawada–Kotera Equations in Terms of Caputo Fractional Derivative
by: N. S. Alharthi
Published: (2025-06-01)
by: N. S. Alharthi
Published: (2025-06-01)
Solitary wave solutions of Sawada-Kotera equation using two efficient analytical methods
by: Muhammad Bilal Riaz, et al.
Published: (2023-12-01)
by: Muhammad Bilal Riaz, et al.
Published: (2023-12-01)
Multi-soliton solutions of the Sawada-Kotera equation using the Hirota direct method: Novel insights into nonlinear evolution equations
by: A. K. M. Kazi Sazzad Hossain, et al.
Published: (2023-12-01)
by: A. K. M. Kazi Sazzad Hossain, et al.
Published: (2023-12-01)
Novel Exact Solution for the Bidirectional Sixth-Order Sawada–Kotera Equation
by: Hongcai Ma, et al.
Published: (2023-01-01)
by: Hongcai Ma, et al.
Published: (2023-01-01)
Analytical and numerical investigation of soliton wave solutions in the fifth-order KdV equation within the KdV-KP framework
by: Raghda A.M. Attia, et al.
Published: (2023-08-01)
by: Raghda A.M. Attia, et al.
Published: (2023-08-01)
Implementation of Analytical Techniques for the Solution of Nonlinear Fractional Order Sawada–Kotera–Ito Equation
by: Rasool Shah, et al.
Published: (2023-03-01)
by: Rasool Shah, et al.
Published: (2023-03-01)
Bosonization, symmetry reductions, mapping and deformation method for B-extension of Sawada–Kotera equation
by: Peng-Fei Wei, et al.
Published: (2023-11-01)
by: Peng-Fei Wei, et al.
Published: (2023-11-01)
Improved Soliton Solutions of Generalized Fifth Order Time-Fractional KdV Models: Laplace Transform with Homotopy Perturbation Algorithm
by: Mubashir Qayyum, et al.
Published: (2022-10-01)
by: Mubashir Qayyum, et al.
Published: (2022-10-01)
Decomposition and linear superposition of the (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation
by: Jianan Wang, et al.
Published: (2024-03-01)
by: Jianan Wang, et al.
Published: (2024-03-01)
New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions
by: Abdul-Majid Wazwaz, et al.
Published: (2023-08-01)
by: Abdul-Majid Wazwaz, et al.
Published: (2023-08-01)
Fractional Dynamics: Applications of the Caputo Operator in Solving the Sawada–Kotera and Rosenau–Hyman Equations
by: Khudhayr A. Rashedi, et al.
Published: (2025-01-01)
by: Khudhayr A. Rashedi, et al.
Published: (2025-01-01)
Efficient solutions for time fractional Sawada-Kotera, Ito, and Kaup-Kupershmidt equations using an analytical technique
by: Humaira Yasmin, et al.
Published: (2024-06-01)
by: Humaira Yasmin, et al.
Published: (2024-06-01)
Solutions of the fractional combined KdV–mKdV equation with collocation method using radial basis function and their geometrical obstructions
by: Doğan Kaya, et al.
Published: (2018-03-01)
by: Doğan Kaya, et al.
Published: (2018-03-01)
Dynamics and stability of soliton solutions for the seventh-order Sawada-Kotera-Ito equation with applications
by: Nimra Nimra, et al.
Published: (2025-07-01)
by: Nimra Nimra, et al.
Published: (2025-07-01)
A One-Step Block Hybrid Integrator for Solving Fifth Order Korteweg-de Vries Equations
by: Olumide O. Olaiya, et al.
Published: (2022-08-01)
by: Olumide O. Olaiya, et al.
Published: (2022-08-01)
The combined KdV-mKdV equation: Bilinear approach and rational solutions with free multi-parameters
by: Rui-rui Yuan, et al.
Published: (2023-12-01)
by: Rui-rui Yuan, et al.
Published: (2023-12-01)
The Fractional Analysis of a Nonlinear mKdV Equation with Caputo Operator
by: Haifa A. Alyousef, et al.
Published: (2023-03-01)
by: Haifa A. Alyousef, et al.
Published: (2023-03-01)
Extension of optimal auxiliary function method to non-linear fifth order lax and Swada-Kotera problem
by: Rashid Nawaz, et al.
Published: (2023-12-01)
by: Rashid Nawaz, et al.
Published: (2023-12-01)
New modifications of natural transform iterative method and q-homotopy analysis method applied to fractional order KDV-Burger and Sawada–Kotera equations
by: Muayyad Mahmood Khalil, et al.
Published: (2024-12-01)
by: Muayyad Mahmood Khalil, et al.
Published: (2024-12-01)
Traveling wave behavior of new (2+1)-dimensional combined KdV–mKdV equation
by: Miguel Vivas-Cortez, et al.
Published: (2023-02-01)
by: Miguel Vivas-Cortez, et al.
Published: (2023-02-01)
Physical vs mathematical origin of the extended KdV and mKdV equations
by: Saleh Baqer, et al.
Published: (2025-04-01)
by: Saleh Baqer, et al.
Published: (2025-04-01)
M-shaped rational, homoclinic breather, kink-cross rational, multi-wave and interactional soliton solutions to the fifth-order Sawada-Kotera equation
by: Sajawal Abbas Baloch, et al.
Published: (2024-09-01)
by: Sajawal Abbas Baloch, et al.
Published: (2024-09-01)
Variety of solutions and dynamical behavior for YTSF equations
by: Wei Chen
Published: (2023-12-01)
by: Wei Chen
Published: (2023-12-01)
Closed-Form Meromorphic Solutions of High-Order and High-Dimensional Differential Equations
by: Hongqiang Tu, et al.
Published: (2025-04-01)
by: Hongqiang Tu, et al.
Published: (2025-04-01)
New exact solution for the (3+1) conformable space–time fractional modified Korteweg–de-Vries equations via Sine-Cosine Method
by: Jamilu Sabi’u, et al.
Published: (2019-12-01)
by: Jamilu Sabi’u, et al.
Published: (2019-12-01)
Extended Tanh-Function Method and Its Applications in Nonlocal Complex mKdV Equations
by: Xiaodong Wang, et al.
Published: (2022-09-01)
by: Xiaodong Wang, et al.
Published: (2022-09-01)
mKdV Equation on Time Scales: Darboux Transformation and <i>N</i>-Soliton Solutions
by: Baojian Jin, et al.
Published: (2024-08-01)
by: Baojian Jin, et al.
Published: (2024-08-01)
Hierarchies of the Korteweg–de Vries Equation Related to Complex Expansion and Perturbation
by: Tatyana V. Redkina, et al.
Published: (2023-04-01)
by: Tatyana V. Redkina, et al.
Published: (2023-04-01)
Exact Travelling-Wave Solutions of the Extended Fifth-Order Korteweg-de Vries Equation via Simple Equations Method (SEsM): The Case of Two Simple Equations
by: Elena V. Nikolova
Published: (2022-09-01)
by: Elena V. Nikolova
Published: (2022-09-01)
On Integration of the Loaded mKdV Equation in the Class of Rapidly Decreasing Functions
by: A.B. Khasanov, et al.
Published: (2021-12-01)
by: A.B. Khasanov, et al.
Published: (2021-12-01)
Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation
by: Claudia Valls
Published: (2020-07-01)
by: Claudia Valls
Published: (2020-07-01)
Symmetry Analysis and PT-Symmetric Extension of the Fifth-Order Korteweg-de Vries-Like Equation
by: Gangwei Wang, et al.
Published: (2022-08-01)
by: Gangwei Wang, et al.
Published: (2022-08-01)
The Zakharov–Shabat Spectral Problem for Complexification and Perturbation of the Korteweg–de Vries Equation
by: Tatyana V. Redkina, et al.
Published: (2023-07-01)
by: Tatyana V. Redkina, et al.
Published: (2023-07-01)
Equivalence transformations of a generalized fifth-order KdV equation with variable coefficients
by: Xuelin Yong, et al.
Published: (2022-06-01)
by: Xuelin Yong, et al.
Published: (2022-06-01)
A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
by: Paz Albares, et al.
Published: (2023-02-01)
by: Paz Albares, et al.
Published: (2023-02-01)
Similar Items
-
Nonlinear superposition between lump soliton and other nonlinear localized waves for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation
by: Longxing Li, et al.
Published: (2023-06-01) -
An efficient approach for the numerical solution of fifth-order KdV equations
by: Ahmad Hijaz, et al.
Published: (2020-07-01) -
Abundant periodic wave solutions for fifth-order Sawada-Kotera equations
by: Muhammad Tahir, et al.
Published: (2020-06-01) -
Extended F-Expansion Method for Solving the modified Korteweg-de Vries (mKdV) Equation
by: Vina Apriliani, et al.
Published: (2020-06-01) -
Two efficient reliable methods for solving fractional fifth order modified Sawada–Kotera equation appearing in mathematical physics
by: S. Saha Ray, et al.
Published: (2016-09-01)
