Diverse exact and solitary wave solutions to new extended KdV6 equation using IM extended tanh-function technique.

Authors: Rabie, Wafaa B¹ (AUTHOR), Ahmed, Hamdy M² (AUTHOR) hamdy_17eg@yahoo.com

Source: Pramana: Journal of Physics. Sep2024, Vol. 98 Issue 3, p1-8. 8p.

Subject Terms: *ELLIPTIC functions, *KORTEWEG-de Vries equation, *EQUATIONS

A VARIABLE COEFFICIENT mKdV DYNAMIC MODEL FOR NON-LINEAR LONG WAVE.

Authors: Shu-Hao WU¹, Bao-Jun ZHAO^1,2 zbj1983@yzu.edu.cn

Source: Thermal Science. 2024, Vol. 28 Issue 4B, p3411-3415. 5p.

Subject Terms: *NONLINEAR waves, *ELLIPTIC functions, *SHEAR flow, *NONLINEAR functions, *ANALYTICAL solutions

New exact solution forms and stability aspects to Drinfel'd–Sokolov–Wilson model by using extended Jacobi elliptic rational function approach.

Authors: ÇelİK, Nİsa¹ (AUTHOR) nisa@uludag.edu.tr

Source: Pramana: Journal of Physics. Jun2024, Vol. 98 Issue 2, p1-10. 10p.

Subject Terms: *ELLIPTIC functions, *WATER waves, *JACOBI method, *TIDAL forces (Mechanics), *NONLINEAR systems, *WAVENUMBER

On the dual pseudo-spherical elastic curves.

Authors: TÜKEL, Gözde ÖZKAN¹ gozdetukel@isparta.edu.tr, YÜCESAN, Ahmet² ahmetyucesan@sdu.edu.tr

Source: Turkish Journal of Mathematics. 2024, Vol. 48 Issue 3, p623-633. 12p.

Subject Terms: *ELLIPTIC functions, *LAGRANGE equations, *CALCULUS of variations, *PROBLEM solving, *INTEGRALS

Estimating potential functions with applications to elliptic problems in half space.

Authors: Ezzdini, Saber¹ (AUTHOR), El Abidine, Zagharide Zine¹ (AUTHOR) Zagharide.Zinelabidine@ipeib.rnu.tn

Source: Complex Variables & Elliptic Equations. May2025, Vol. 70 Issue 5, p755-773. 19p.

Subject Terms: *BOUNDARY value problems, *ELLIPTIC functions, *POTENTIAL functions, *ELLIPTIC equations, *FUNCTION spaces

Ramanujan-Berndt-type integrals of order four and series associated with Jacobi elliptic functions.

Authors: Zhang, Yuting¹ (AUTHOR), Rui, Hongyuan² (AUTHOR) rhy626514@163.com

Source: Integral Transforms & Special Functions. May2025, Vol. 36 Issue 5, p371-399. 29p.

Subject Terms: *TRIGONOMETRIC functions, *ELLIPTIC functions, *INTEGRAL functions, *HYPERBOLIC functions, *GAMMA functions

A New Family of Buckled Rings on the Unit Sphere.

Authors: Singer, David A.¹ (AUTHOR)

Source: Mathematics (2227-7390). Apr2025, Vol. 13 Issue 8, p1228. 7p.

Subject Terms: *ELLIPTIC functions, *VECTOR fields, *DISCRETE symmetries, *RESEARCH personnel, *SPHERES

Null geodesics in the static black bottle spacetime.

Authors: Chang, Hexiang¹ (AUTHOR) E0725841@u.nus.edu

Source: General Relativity & Gravitation. Apr2025, Vol. 57 Issue 4, p1-25. 25p.

Subject Terms: *ELLIPTIC functions, *GEODESIC motion, *GEODESIC equation, *ANALYTICAL solutions, *CONSERVED quantity

Multicomponent DKP hierarchy and its dispersionless limit: Multicomponent DKP hierarchy and its dispersionless limit: A. Savchenko, A. Zabrodin.

Authors: Savchenko, A.^1,2 (AUTHOR) ksanoobshhh@gmail.com, Zabrodin, A.^1,2,3 (AUTHOR) zabrodin@itep.ru

Source: Letters in Mathematical Physics. Apr2025, Vol. 115 Issue 2, p1-26. 26p.

Subject Terms: *NONLINEAR differential equations, *ELLIPTIC functions, *LIMITS (Mathematics), *ELLIPTIC curves, *INTEGRAL equations

On alleged solutions of the cubically nonlinear Schrödinger equation.

Authors: Schürmann, H. W.¹ (AUTHOR) hwschuer@uos.de, Serov, V. S.² (AUTHOR) vserov@cc.oulu.fi

Source: Theoretical & Mathematical Physics. Apr2025, Vol. 223 Issue 1, p572-575. 4p.

Subject Terms: *NONLINEAR Schrodinger equation, *ELLIPTIC functions

Diverse general solitary wave solutions and conserved currents of a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science.

Authors: Adeyemo, Oke Davies¹ (AUTHOR) adeyemodaviz@gmail.com

Source: Mathematical Methods in the Applied Sciences. 3/15/2025, Vol. 48 Issue 4, p5039-5063. 25p.

Subject Terms: *TRIGONOMETRIC functions, *ELLIPTIC functions, *HYPERBOLIC functions, *ORDINARY differential equations, *NONLINEAR differential equations

Linear x-coordinate relations of triples on elliptic curves.

Authors: Caro, Jerson¹ (AUTHOR) jlcaro@bu.edu, Garcia-Fritz, Natalia^1,2 (AUTHOR) natalia.garcia@uc.cl

Source: Journal of Number Theory. Jun2025, Vol. 271, p109-121. 13p.

Subject Terms: *ELLIPTIC functions, *COMPLEX numbers, *LINEAR equations, *CARTESIAN coordinates, *LOGICAL prediction, *ABELIAN varieties, *ELLIPTIC curves

Free electron laser saturation: Exact solutions and logistic equation.

Authors: Curcio, A.¹ (AUTHOR) alessandro.curcio@lnf.infn.it, Dattoli, G.² (AUTHOR), Di Palma, E.² (AUTHOR), Pagnutti, S.² (AUTHOR)

Source: Journal of Applied Physics. 10/7/2023, Vol. 134 Issue 13, p1-11. 11p.

Subject Terms: *FREE electron lasers, *ELLIPTIC functions, *NONLINEAR oscillators, *EQUATIONS

Time like geodesics for five-dimensional Schwarzschild and Reissner–Nordström anti-de Sitter black holes.

Authors: González, P. A.¹ (AUTHOR), Olivares, Marco¹ (AUTHOR), Vásquez, Yerko² (AUTHOR), Villanueva, J. R.³ (AUTHOR) jose.villanueva@uv.cl

Source: European Physical Journal C -- Particles & Fields. Sep2023, Vol. 83 Issue 9, p1-13. 13p.

Subject Terms: *GEODESICS, *ELLIPTIC functions, *EQUATIONS of motion, *PSEUDOPOTENTIAL method, *ORBITS (Astronomy), *BLACK holes

Spectrum of the Lamé operator along Reτ = 1/2: The genus 3 case.

Authors: Fu, Erjuan¹ (AUTHOR) ejfu@bimsa.cn

Source: Journal of Differential Equations. Jan2025, Vol. 414, p310-347. 38p.

Subject Terms: *ELLIPTIC functions, *POLYNOMIALS

Comment on: "Solving the conformable Huxley equation using the complex method" [Electron. Res. Arch., 31 (2023), 1303–1322].

Authors: Ye, Feng¹ (AUTHOR), Zhang, Xiaoting¹ (AUTHOR) zhangxiaoting1985@163.com, Jiang, Chunling¹ (AUTHOR), Zeng, Bo² (AUTHOR)

Source: Electronic Research Archive. 2025, Vol. 33 Issue 1, p1-8. 8p.

Subject Terms: *DIFFERENTIAL equations, *ELLIPTIC functions, *MEROMORPHIC functions, *ELECTRONS, *EQUATIONS

Explicit bounds on the coefficients of modular polynomials and the size of X0(N).

Authors: Breuer, Florian¹ (AUTHOR), Gijón Gómez, Desirée² (AUTHOR), Pazuki, Fabien² (AUTHOR) fpazuki@math.ku.dk

Source: Proceedings of the London Mathematical Society. Jan2025, Vol. 130 Issue 1, p1-25. 25p.

Subject Terms: *ELLIPTIC functions, *MODULAR forms, *PARAMETERIZATION, *ASYMPTOTIC expansions, *MATHEMATICAL functions

Exact solutions and classification of linearized eigenvalue problems for one-dimensional Gross–Pitaevskii system.

Authors: Fazly, Mostafa¹ (AUTHOR) mostafa.fazly@utsa.edu, Miyamoto, Yasuhito² (AUTHOR) miyamoto@ms.u-tokyo.ac.jp

Source: Journal of Mathematical Physics. Jan2025, Vol. 66 Issue 1, p1-13. 13p.

Subject Terms: *NEUMANN boundary conditions, *ELLIPTIC functions, *EIGENFUNCTIONS, *EIGENVALUES, *CLASSIFICATION

Pressure wave characteristics in a bubble-liquid mixture via Kudryashov–Sinelshchikov equation.

Authors: Ghose-Choudhury, A.¹ (AUTHOR), Garai, Sudip¹ (AUTHOR) sudip.dhwu@gmail.com

Source: Waves in Random & Complex Media. Dec2024, Vol. 34 Issue 6, p5535-5548. 14p.

Subject Terms: *ELLIPTIC functions, *NONLINEAR waves, *WAVE equation, *EQUATIONS, *MIXTURES

On a Refinement of the Schneider–Lang theorem.

Authors: Podkopaeva, V. A.¹ (AUTHOR) podkopaevava@mpei.ru, Yanchenko, A. Ya.¹ (AUTHOR)

Source: Mathematical Notes. Jun2023, Vol. 113 Issue 5/6, p804-814. 11p.

Subject Terms: *ELLIPTIC functions, *ALGEBRAIC fields, *MEROMORPHIC functions, *ALGEBRAIC numbers, *EXPONENTIAL functions, *VALUATION of real property