Results 61 to 70 of about 694 (184)
Results in OpticsIn this paper, we study the application of the Jacobi elliptic function expansion method for finding the new exact solutions to the nonlinear (1+1)- dimensional Shynaray-IIA equation, including the conformable derivative.
Muhammad Ishfaq Khan +2 more
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A relative Poincaré–Birkhoff theorem
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract A. Moreno and Otto van Koert proved a generalised version of the classical Poincaré–Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian boundary. This gives interior chords of arbitrary large length, provided that the twist condition introduced by Moreno and van
Agustin Moreno, Arthur Limoge
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Affine hypersurfaces and superintegrable systems
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
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On the Jacobi Elliptic functions and Applications
, 2005 To appear in J. of Nonlin. Math. Phys.
openaire +2 more sources
Theory of multivariable Bessel functions and elliptic modular functions
Le Matematiche, 1998 The theory of multivariable Bessel functions is exploited to establish further links with the elliptic functions. The starting point of the present investigations is the Fourier expansion of the theta functions, which is used to derive an analogous ...
G. Dattoli, A. Torre, S. Lorenzutta
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Engineering Reports, Volume 8, Issue 6, June 2026.This study investigates a nonlinear Navier‐Stokes‐type model for elastic cylindrical vessels. Exact solutions are derived via the Bäcklund transformation and the ϕ6$$ {\phi}^6 $$‐expansion method, and dynamical behaviors are analyzed using bifurcation and chaos tools, revealing diverse wave structures and parameter‐dependent propagation characteristics.
Sheikh Zain Majid +2 more
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International Journal of Mathematics and Mathematical Sciences, 2020 In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equation for exact solutions.
Supaporn Kaewta +2 more
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Traveling-Wave Solutions of Several Nonlinear Mathematical Physics Equations
MathematicsThis paper deals with several nonlinear partial differential equations (PDEs) of mathematical physics such as the concatenation model (perturbed concatenation model) from nonlinear fiber optics, the plane hydrodynamic jet theory, the Kadomtsev ...
Petar Popivanov, Angela Slavova
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Results in Physics, 2019 This paper enumerates optical solitons and other solutions in fiber Bragg gratings having dispersive reflectivity with parabolic form of nonlinearity. The new Jacobi elliptic functions expansion has been utilized to achieve this goal.
Elsayed M.E. Zayed +5 more
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New exact traveling wave solutions of the coupled Boussinesq equations
Theoretical and Applied Mechanics LettersThe Boussinesq equations, pivotal in the analysis of water wave dynamics, effectively model weakly nonlinear and long wave approximations. This study utilizes the complete discriminant system within a polynomial approach to derive exact traveling wave ...
Mingyue Wang, Youhe Zhou, Jizeng Wang
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