Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance by Rodolfo Casana, Lucas Sourrouille

“…We have studied the existence of self-dual solitonic solutions in a generalization of the Abelian Chern-Simons-Higgs model. …”
Get full text

On the analytic generalization of particle deflection in the weak field regime and shadow size in light of EHT constraints for Schwarzschild-like black hole solutions by Reggie C. Pantig

“…This work provided four examples, including Schwarzschild-like solutions in the context of Bumblebee gravity theory and the Kalb–Ramond framework, as well as one example from a black hole surrounded by soliton dark matter. These examples explore distinct mechanisms of Lorentz symmetry breaking, with results that are either new or in agreement with existing literature. …”
Get full text

Combined Damped Sinusoidal Oscillation Solutions to the (3 + 1)-D Variable-Coefficient Generalized NLW Equation in Liquid with Gas Bubbles by Xiuwang Wang, Jalil Manafian, Wayan Eka Mahendra, Azher M. Abed, Mustafa Z. Mahmoud, Guizhen Liang

“…Using suitable mathematical assumptions, the novel kinds of solitary, periodic, and singular soliton solutions are derived and established in view of the trigonometric and rational functions of the governing equation. …”
Get full text

Liquid crystal torons in Poiseuille-like flows by Guilherme N. C. Amaral, Hanqing Zhao, Mahmoud Sedahmed, Tomás Campante, Ivan I. Smalyukh, Mykola Tasinkevych, Margarida M. Telo da Gama, Rodrigo C. V. Coelho

“…These findings pave the way for future studies of other topological solitons, like hopfions and heliknotons, in flowing soft matter systems.…”
Get full text

On the novel nonlinear propagating waves in stochastic dispersive mode by H.G. Abdelwahed, A.F. Alsarhan, E.K. El-Shewy, Mahmoud A.E. Abdelrahman

“…The solutions of the nonlinear Schrödinger equations (NLSEs) predict the presence of consistent, novel and applicable existences including solitonic localized structures, rouge forms and shocks that propagate based on of physical parameters. …”
Get full text

Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense by Md. Nur Alam

“…These graphical representations illustrate a variety of forms, such as periodic solitons, multiple solitons, singular solitons, bright-dark solitons and solitary waves. …”
Get full text

Traveling wave solutions of a hybrid KdV-Burgers equation with arbitrary real coefficients in relation with beam-permeated multi-ion plasma fluids by Kuldeep Singh, Steffy Sara Varghese, Ioannis Kourakis

“…For a positive dispersion coefficient b (value), which is the general case in beam-free electron-ion plasma, this PDE possesses analytical solutions representing “shock”-shaped traveling waves with a characteristic kink (or anti-kink) soliton-like profile, for negative (or positive, respectively) values of the nonlinearity coefficient (a). …”
Get full text

Fundamental charges for dual-unitary circuits by Tom Holden-Dye, Lluis Masanes, Arijeet Pal

“…A number of ways to construct these many-body solitons (explicitly in the case where the local Hilbert space dimension $d=2$) are then demonstrated: firstly, via a simple construction involving products of smaller, constituent solitons; and secondly, via a construction which cannot be understood as simply in terms of products of smaller solitons, but which does have a neat interpretation in terms of products of fermions under a Jordan-Wigner transformation. …”
Get full text

Extension on Bifurcations of Traveling Wave Solutions for a Two-Component Fornberg-Whitham Equation by Zhenshu Wen

“…They gave a part of possible phase portraits and obtained some uncertain parametric conditions for solitons and kink (antikink) solutions. However, the exact explicit parametric conditions have not been given for the existence of solitons and kink (antikink) solutions. …”
Get full text

Experiments on Linear and Nonlinear Localization of Optical Vortices in Optically Induced Photonic Lattices by Daohong Song, Cibo Lou, Liqin Tang, Zhuoyi Ye, Jingjun Xu, Zhigang Chen

“…It is shown that, apart from the fundamental (semi-infinite gap) discrete vortex solitons demonstrated earlier, the SCVs can self-trap into stable gap vortex solitons under the normal four-site excitation with a self-defocusing nonlinearity, while the DCVs can be stable only under an eight-site excitation inside the photonic lattices. …”
Get full text

Efectos no lineales fotoinducidos en cristales líquidos by Juan A. Reyes, Rosalío F. Rodríguez

“…Se muestra que existe un efecto de guía de ondas en la propagación de los campos ópticos y que los modos transversales magnéticos (TM) de la radiación electromagnética se pueden propagar como solitones ópticos. En ausencia de absorción, se calculan explícitamente diversas propiedades de los solitones.…”
Get full text

Classification of Exact Solutions for Generalized Form of Equation by Hasan Bulut

“…The classification of exact solutions, including solitons and elliptic solutions, to the generalized equation by the complete discrimination system for polynomial method has been obtained. …”
Get full text

Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics by Y. B. Chukkol, M. N. B. Mohamad, Mukhiddin Muminov

“…The solutions include solitons and periodic solutions. The method applied can be used in further works to obtain entirely new solutions to many other nonlinear evolution equations.…”
Get full text

Conformal Vector Fields on Doubly Warped Product Manifolds and Applications by H. K. El-Sayied, Sameh Shenawy, Noha Syied

“…A special attention is paid to concurrent vector fields. Finally, Ricci solitons on doubly warped product spacetime admitting conformal vector fields are considered.…”
Get full text

Diagramas de Bianchi para Susy by Sara Cruz y Cruz, Nicolás Fernández-García, Oscar Rosas-Ortiz

“…Se revisa el origen de los solitones como soluciones de la ecuación de Korteweg-de Vries y su presencia en la formulación supersimétrica de la Mecánica Cuántica. …”
Get full text

Three-dimensional Korteweg-de Vries equation and traveling wave solutions by Kenneth L. Jones

“…The cnoidal wave solutions are shown to be represented as infinite sums of solitons by using Fourier series expansions and Poisson's summation formula.…”
Get full text

On the Electromagnetic Vacuum Origins of Dark Energy, Dark Matter, and Astrophysical Jets by Stuart Marongwe

“…We use a semiclassical version of the Nexus paradigm of quantum gravity in which the quantum vacuum at large scales is dominated by the second quantized electromagnetic field to demonstrate that a virtual photon field can affect the geometric evolution of Einstein manifolds or Ricci solitons. This phenomenon offers a cogent explanation of the origins of astrophysical jets, the cosmological constant, and a means of detecting galactic dark matter.…”
Get full text

A Fourth Order Finite Difference Method for the Good Boussinesq Equation by M. S. Ismail, Farida Mosally

“…Head-on and overtaking interactions of two solitons are also considered. The numerical results reveal the good performance of the derived method.…”
Get full text

Hyperbolic (3+1)-Dimensional Nonlinear Schrödinger Equation: Lie Symmetry Analysis and Modulation Instability by Vikas Kumar, Ram Jiwari, Aloev Rakhmatullo Djurayevich, Mirzoali Urazaliyevich Khudoyberganov

“…The obtained complex solution contains bright and dark solitons. Furthermore, modulation instability is applied to this model to explain the interplay between nonlinear and dispersive effects. …”
Get full text

M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation by Rihan Hai, Hasi Gegen

“…Through the asymptotic analysis, we show that the semirational solutions describe fusion and fission of lumps and line solitons and rogue lump phenomena. Furthermore, we construct the cKP3-4 equation with self-consistent sources via the source generation procedure and present its Grammian and Wronskian solution.…”
Get full text