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Showing papers in "Journal of Geometry and Physics in 2022"


Journal ArticleDOI
TL;DR: In this paper , two nonlocal group reductions of the AKNS matrix spectral problems were proposed to generate a class of nonlocal reverse-spacetime integrable mKdV equations.

43 citations


Journal ArticleDOI
TL;DR: In this paper , the authors take advantage of envelope theory and singularity theory to study the evolutoids and pedaloids in Minkowski plane and illustrate an internal correlation from algebraic and geometric viewpoints.

19 citations


Journal ArticleDOI
TL;DR: In this article , the authors discuss the dynamical behavior of ill-posed Boussinesq (IPB) dynamical wave equation, which depicts how long wave made in shallow water propagates due to the influence of gravity.

18 citations


Journal ArticleDOI
TL;DR: In this paper , the generalized Vakhnenko Parkes (gVP) equation has been used to describe highfrequency waves in the relaxation medium possessing periodic and solitary traveling wave solutions some of which are loop-like in nature.

15 citations


Journal ArticleDOI
TL;DR: In this article , the authors studied the propagation of the short pulse optical model governed by higher order nonlinear Schrödinger equation (HNLSE) with non-Kerr nonlinearity.

13 citations


Journal ArticleDOI
TL;DR: In this article , the abundant families of nonlinear acoustic wave structures are constructed for Zabolotskaya-Khokholov (Z-K) model which provides information about the propagation of sound beam or confined wave beam in nonlinear media and studies of beam deformation.

13 citations


Journal ArticleDOI
TL;DR: In this paper , a conformable fractional (CF) operator was adopted to convert a (2+1)−dimensional nonlinear fractional electrical transmission line equation (NLFETLE) into an ordinary differential equation (ODE) to analyze the wave variation in nonlinear systems.

12 citations


Journal ArticleDOI
TL;DR: In this paper , it was shown that all principal Galilean Lie algebras do not have non-trivial transposed Poisson structures and as follows they do not admit transposed poisson structures.

11 citations


Journal ArticleDOI
TL;DR: In this paper , the robust technique of the Lie group theory of differential equation was invoked to achieve analytic solutions to the equation, which is used in a systematic way to generate the Lie point symmetries of the equation under study.

10 citations


Journal ArticleDOI
TL;DR: In this article , the authors proposed square roots and sign rules for the vertex and edge terms that compute Donaldson-Thomas invariants of a toric Calabi-Yau 4-fold, and proved that they are canonical.

9 citations


Journal ArticleDOI
TL;DR: In this article , the authors used singular manifold method, exp−(−Φ(ξ))expansion method and generalized projective Riccati equation method to find soliton solutions of Mikhailov-Novikov-Wang integrable equation.

Journal ArticleDOI
TL;DR: In this paper , it was shown that the entropy function associated with the decreasing one-parameter family of translated standard subspaces is convex for any given (not necessarily smooth) vector in the underlying Hilbert space.

Journal ArticleDOI
TL;DR: In this article , it was shown that the Carroll algebra admits two non-trivial central extensions by computing the associated Lie group, which is called extended Carroll group, and the symplectic geometry associated to this group is then computed to describe the motion of planar Carroll elementary particles, in the free case, when coupled to an electromagnetic field, and to a gravitational field.

Journal ArticleDOI
TL;DR: In this article , a cubic-quintic nonlinear non-paraxial pulse propagation (CQ-NNP-PP) model for chirped solitons is proposed.

Journal ArticleDOI
TL;DR: In this article, it was shown that the entropy function associated with the decreasing one-parameter family of translated standard subspaces is convex for any given (not necessarily smooth) vector in the underlying Hilbert space.

Journal ArticleDOI
TL;DR: In this article , the improved modified extended tanh function method was applied to study the perturbed Gerdjikov-Ivanov equation (PGI) which describes the dynamics of the soliton in optical fibers.

Journal ArticleDOI
TL;DR: In this paper , three well known properties of solitons, like Painleve test (P -test), Hirota bilinear method (HBM) and extended modified auxiliary equation mapping (EMAEM) in SCQNM, were discussed.

Journal ArticleDOI
TL;DR: In this paper , by implementing appropriate transformation mechanism multiple breather solitons such as Ma-breather, generalized breather, Kunzetsov-Ma breather and homoclinic breather are obtained.

Journal ArticleDOI
Hongcai Ma1
TL;DR: In this article , a (2+1)-dimensional generalized Korteweg-de Vries (ngKdV) equation is derived from a bilinear differential equation by combining the logarithmic transformation u=2(lnf)x.

Journal ArticleDOI
TL;DR: In this article , the integrability of contact Hamiltonian systems, both time-dependent and independent, has been studied, and two different Hamilton-Jacobi equations have been obtained.

Journal ArticleDOI
TL;DR: The Morris-Thorne wormhole is a spherically symmetric solution of Einstein field equations with cosmological constant as mentioned in this paper , and it is an Einstein manifold of level 2 and a special quasi-Einstein manifold.

Journal ArticleDOI
TL;DR: In this paper , the authors studied general relativistic spacetime obeying an η-Ricci-Bourguignon soliton, whose potential vector field is torse-forming.


Journal ArticleDOI
TL;DR: In this paper , the authors utilize results on Lie symmetry analysis, explicit series solutions and conservation laws for the time-fractional Zakharov-Kuznetsov (q,p,r) equation in three-dimensional space.

Journal ArticleDOI
TL;DR: In this article , it was shown that the space of Dolbeault harmonic (1,1)-forms on compact quotients of 4-dimensional Lie groups admits a left invariant almost Hermitian structure (J,ω).

Journal ArticleDOI
TL;DR: In this paper , the Skinner-Rusk unified setting for non-conservative field theories is presented, which encompasses both the Lagrangian and Hamiltonian formalisms into a single picture.

Journal ArticleDOI
TL;DR: The zeroth line bundle cohomology on Calabi-Yau three-folds encodes information about the existence of flop transitions and genus zero Gromov-Witten invariants as discussed by the authors .

Journal ArticleDOI
TL;DR: In this article , the Darboux transformation and limit technique was used to obtain the N-bright-bright soliton, N-dark-bright, general N-breather and Nth-order semirational rogue wave solutions of the coupled nonlocal reverse-time nonlinear Schrödinger (NLS) equations.

Journal ArticleDOI
TL;DR: In this paper , the authors introduced the notion of relative Rota-Baxter-Nijenhuis structures on Lie-Yamaguti pairs, investigated their properties, and proved that a relative RCN structure gives rise to a pair of compatible RCN operators under a certain condition.

Journal ArticleDOI
TL;DR: In this article , the authors explore the properties of the equilibrium space of van der Waals thermodynamic systems using an invariant representation of the fundamental equation by using the law of corresponding states.