Results 21 to 30 of about 1,585,437 (172)
, 2022 The main purpose of the current paper is to establish a (4 + 1)-dimensional nonlinear evolutionary (4D-NLE) equation and derive its Bäcklund transformation, complexiton, and solitons.
Mirzazadeh, M. A. +3 more
core +1 more source
Novel Bäcklund Transformations for Integrable Equations
Mathematics, 2022 In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors.
Pilar Ruiz Gordoa, Andrew Pickering
doaj +1 more source
The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation
Results in Physics, 2022 Through the Bäcklund transformation and Hirota bilinear form, the explicit solutions with localized structures for the (2+1)-dimensional Hirota–Satsuma–Ito equation are solved.
Zheng-Yi Ma, Jin-Xi Fei, Wei-Ping Cao
doaj +1 more source
Beşinci mertebeden Burgers Hierarchy denklemi için Auto-Bäcklund dönüşümü [PDF]
, 2019 In this paper, we implemented Auto-Bäcklund transformation for fifth order equation of the Burgers hierarchy. Auto-Bäcklund transformation was developed as a direct and simple method to obtain solutions of nonlinear partial differential equations by Fan.
İnan, İbrahim Enam
core +1 more source
On one-soliton solutions of the Q2 equation in the ABS list
Advances in Difference Equations, 2019 In this paper, we derive seed and 1-soliton solutions of the Q2 equation in the Adler–Bobenko–Suris list. The seed solutions of Q2 are obtained using those of Q1(δ) $\mbox{Q}1(\delta)$ and an non-auto Bäcklund transformation connecting them.
Qiang Cheng +3 more
doaj +1 more source
Symbolic computation, Bäcklund transformation and analytic N-soliton-like solution for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas [PDF]
, 2009 With symbolic computation, a bilinear Bäcklund transformation is presented for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas, and correspondingly the one-soliton-like solution is derived from the Bäcklund ...
Yao, Zhen-Zhi +5 more
core +1 more source
Quantum Bäcklund transformation for the Liouville theory
, 1982 The classical Bäcklund transformation, which maps the Liouville model onto a free field theory, is developed into an explicit operator relation for quantum fields.
Braaten, Eric +2 more
core +1 more source
The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We wish to explore a link between the Lax integrability of the q-Painlevé equations and the symmetries of the q-Painlevé equations. We shall demonstrate that the connection preserving deformations that give rise to the q-Painlevé equations may be thought
Christopher M. Ormerod
doaj +1 more source
Partial Differential Equations in Applied Mathematics, 2022 In this paper I give a short review on the continuous, semi-discrete and discrete Burgers equations, which are featured as integrable equations that are linearisable.
Da-jun Zhang
doaj +1 more source
A vector asymmetrical NNV equation: Soliton solutions, bilinear Bäcklund transformation and Lax pair [PDF]
, 2008 A vector asymmetrical Nizhnik–Novikov–Veselov (NNV) equation is proposed based on its bilinear form. Soliton solutions expressed by Pfaffians are obtained.
Tam, Hon-Wah, Yu, Guo-Fu
core +1 more source