Zobrazeno 1 - 10
of 2 725
pro vyhledávání: '"Bäcklund transformation"'
Publikováno v:
Nonlinear Waves & Hamiltonian Systems : From One To Many Degrees of Freedom, From Discrete To Continuum, 2024, ill.
Externí odkaz:
https://doi.org/10.1093/oso/9780192843234.003.0015
Applications of soliton solutions of the two-dimensional nonlinear complex coupled Maccari equations
Autor:
Mohammad Alqudah, Manoj Singh
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 31636-31657 (2024)
This study investigates the two-dimensional nonlinear complex coupled Maccari equations, which are significant in describing solitary waves concentrated in small spatial regions. These equations have applications across various fields, including hydr
Externí odkaz:
https://doaj.org/article/b6f7d062846643b397ec12852f6aa88b
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 31163-31179 (2024)
In this study, we applied the Riccati-Bernoulli sub-ODE method and Bäcklund transformation to analyze the time-space fractional Oskolkov equation for kink solutions by matching the coefficients and optimal series parameters. The time-space fractiona
Externí odkaz:
https://doaj.org/article/90d4b12e5823470e90f848011c39891b
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 12, Pp 103085- (2024)
This article discusses a new integrable wave equation in (3+1)-dimensions that describes shallow water waves. The auto–Bäcklund and Cole-Hopf transformations are constructed by means of the homogeneous balance approach, which results in numerous n
Externí odkaz:
https://doaj.org/article/9a0c064f44f24e509b266febf6c29e11
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 16146-16167 (2024)
The present study investigates the fractional Dullin-Gottwald-Holm equation by using the Riccati-Bernoulli sub-optimal differential equation method with the Bäcklund transformation. By employing a well-established criterion, the present study reveal
Externí odkaz:
https://doaj.org/article/3e0c4a421f3143f295eda56dcb160a2e
Publikováno v:
Results in Physics, Vol 64, Iss , Pp 107903- (2024)
This research investigates the characteristics and attributes of a new (3+ 1)-dimensional Boussinesq equation that describes shallow water waves in higher dimensions. By utilizing the Hirota bilinear representation, a bilinear Bäcklund transformatio
Externí odkaz:
https://doaj.org/article/7d0dcdbcb91d4c6d9db97024cb4aaf3f
Autor:
Nursena Günhan Ay, Emrullah Yaşar
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100785- (2024)
This study investigates the dynamics of a predator–prey system by incorporating the Allee effect. The exact analytical solutions of the system are explored using the generalized exponential function method and the Bäcklund transformation approach.
Externí odkaz:
https://doaj.org/article/b5bfc8523c3447ad86d9416cde98d6f0
Autor:
M. Mossa Al-Sawalha, Safyan Mukhtar, Albandari W. Alrowaily, Saleh Alshammari, Sherif. M. E. Ismaeel, S. A. El-Tantawy
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 12357-12374 (2024)
This paper solves an example of a time-space fractional Kuramoto-Sivashinsky (KS) equation using the integrated Bäcklund transformation and the Riccati-Bernoulli sub-ODE method. A specific version of the KS equation with power nonlinearity of a give
Externí odkaz:
https://doaj.org/article/92e5955c43694e96b234fc41519bc1c4
Autor:
Xiaojian Li, Lianzhong Li
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1345 (2024)
In this study, we focus on investigating a novel extended (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like (KPB-like) equation. Initially, we utilized the Lie symmetry method to determine the symmetry generator by considering the Lie inva
Externí odkaz:
https://doaj.org/article/c20c63d256d04e499057dd0dad174232
Autor:
Safyan Mukhtar, Weaam Alhejaili, Mohammad Alqudah, Ali M. Mahnashi, Rasool Shah, Samir A. El-Tantawy
Publikováno v:
Axioms, Vol 13, Iss 10, p 686 (2024)
This paper provides several new traveling wave solutions for a nonlinear partial differential equation (PDE) by applying symbolic computation and a new approach, the Riccati–Bernoulli sub-ODE method, in a computer algebra system. Herein, employing
Externí odkaz:
https://doaj.org/article/d42d25a9adbd4a1aa519ada75d4fe348