Results 1 to 10 of about 177,748 (281)

N-lump and interaction solutions of localized waves to the (2 + 1)-dimensional generalized KP equation

Results in Physics, 2021
With the aid of the binary Hirota polynomial scheme, the bilinear form of the generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation, is constructed.
Haixia Zhang, Jalil Manafian, Gurpreet Singh, Onur Alp Ilhan, Angelina Olegovna Zekiy   +4 more
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Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗

Advances in Mathematical Physics, 2020
A nonlinear PDE combining with a new fourth-order term Dx2Dt2 is studied. Adding three new fourth-order derivative terms and some second-order derivative terms, we formulate a combined fourth-order nonlinear partial differential equation, which possesses
Liqin Zhang, Wen-Xiu Ma, Yehui Huang
doaj   +1 more source

WZNW MODELS FROM NONSTANDARD BILINEAR FORMS [PDF]

Modern Physics Letters A, 1996
We study the WZNW models based on nonstandard bilinear forms. We approach the problem from algebraic, perturbative and functional exact methods. It is shown that even in the case of integer k we can find irrational CFTs. We prove that when the base group is noncompact with non-Abelian maximal compact subgroup, the affine algebra representations are ...
Arfaei, H., Parvizi, S.
openaire   +2 more sources

The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation

Advances in Mathematical Physics, 2021
An integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota’s bilinear method, the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiying Chen, Xiangpeng Xin, Feng Zhang
doaj   +1 more source

Bell Polynomials Approach Applied to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation

Abstract and Applied Analysis, 2014
The bilinear form, bilinear Bäcklund transformation, and Lax pair of a (2 + 1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation are derived through Bell polynomials. The integrable constraint conditions on variable coefficients
Wen-guang Cheng, Biao Li, Yong Chen
doaj   +1 more source

Construction of lump soliton and mixed lump stripe solutions of (3+1)-dimensional soliton equation

Results in Physics, 2018
In this letter, we apply two different ansatzs for constructing the lump soliton and mixed lump strip solutions of (3+1)-dimensional soliton equation, which is associating with the Hirota bilinear form.
Jiangen Liu, Yufeng Zhang
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Spin–Orbital Coupling and Conservation Laws in Electromagnetic Waves Propagating through Chiral Media

Optics, 2023
This study examines the characteristics of the electromagnetic waves that propagate through an unbounded space filled with a homogeneous isotropic chiral medium.
Hyoung-In Lee
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Binary Structures on Banach Spaces

Axioms
The aim of the present work is to give a mathematical underpinning for the use of quasi-probabilities and pseudo-metrics in infinite-dimensional Banach manifolds. The notion of a continuous binary structure is introduced.
Jan Naudts
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Irreducible maps and bilinear forms

Linear Algebra and its Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brenner, Sheila, Butler, M.C.R., King, Alastair D.   +2 more
openaire   +1 more source

Periodic solutions to a coupled two-dimensional lattice presented by Blaszak and Szum with Riemann–theta function

Advances in Difference Equations, 2018
A coupled two-dimensional lattice presented by Blaszak and Szum is studied with the aid of Riemann–theta function and the bilinear method. By utilizing a bilinear form of the equation, we have obtained one-periodic and two-periodic solutions. In order to
Ting Su
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