Results 51 to 60 of about 6,078 (188)

Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak, Karsten Matthies, Jonathan Sewell, Miles H. Wheeler   +3 more
wiley   +1 more source

Darboux points and integrability of homogeneous Hamiltonian systems with three and more degrees of freedom

, 2009
We consider natural complex Hamiltonian systems with $n$ degrees of freedom given by a Hamiltonian function which is a sum of the standard kinetic energy and a homogeneous polynomial potential $V$ of degree $k>2$.
A. Guillot, A. J. Maciejewski, A. J. Maciejewski, A. K. Tsikh, A. Koz’owski, D. Cox, D. Cox, G. Biernat, G. Biernat, G. Biernat, H. A. Schwarz, H. Yoshida, H. Yoshida, I.A. Aĭzenberg, I.R. Shafarevich, J. Hietarinta, J. Hietarinta, J. J. Morales Ruiz, J. J. Morales Ruiz, J. J. Morales Ruiz, J. J. Morales Ruiz, J. J. Morales Ruiz, J. J. Morales Ruiz, K. Nakagawa, M. Audin, M. Przybylska, M. Przybylska, M.A. Almeida, P. Griffiths, P.A. Griffiths, P.F. Baum, S. L. Ziglin, S. L. Ziglin, T. Kimura   +33 more
core   +2 more sources

Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
wiley   +1 more source

Hirota equation and the quantum plane

, 2012
We discuss geometric integrability of Hirota's discrete KP equation in the framework of projective geometry over division rings using the recently introduced notion of Desargues maps.
Doliwa, Adam
core   +1 more source

Darboux-integrable nonlinear Liouville–von Neumann equation [PDF]

Physical Review E, 1998
A new form of a binary Darboux transformation is used to generate analytical solutions of a nonlinear Liouville-von Neumann equation. General theory is illustrated by explicit examples.
Leble, S.b., Czachor, Marek
openaire   +3 more sources

On Dynamic Inequalities of Grüss, Ostrowski and Trapezoidal Type via Nabla‐α Conformable Integrals on Time Scales

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This study proves numerous novel Ostrowski‐type inequalities for nabla‐α differentiable functions by employing the α‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐α derivatives.
Khuram Ali Khan, Iram Shahzadi, Ammara Nosheen, M. K. Kahungu, Y. S. Hamed, Deepali   +5 more
wiley   +1 more source

Generalized isothermic lattices

, 2006
We study multidimensional quadrilateral lattices satisfying simultaneously two integrable constraints: a quadratic constraint and the projective Moutard constraint.
Adam Doliwa, Bertrand J, Bianchi L, Bianchi L, Bobenko A, Bobenko A, Bobenko A, Bobenko A, Bobenko A Suris Yu, Bobenko A Suris Yu, Calapso P, Cieśliński J, Clifford W K, Coxeter H S M, Darboux G, Darboux G, Darboux G, Doliwa A, Doliwa A, Doliwa A, Hertrich-Jeromin U, Hertrich-Jeromin U, Hoffmann T, Klimczewski P Nieszporski M Sym A, Lamé G, Lamé G, Miquel A, Miwa T, Pedoe D, Rogers C, Samuel P, Sauer R, Sauer R, Sym A, Veblen O, Wallner J Pottmann H   +35 more
core   +3 more sources

Discretization of hyperbolic type Darboux integrable equations preserving integrability [PDF]

Journal of Mathematical Physics, 2011
A method of integrable discretization of the Liouville type nonlinear partial differential equations based on integrals is suggested. New examples of the discrete Liouville type models are presented.
Habibullin, I., Zheltukhina, N., Sakieva, A.   +2 more
openaire   +6 more sources

On Darboux non-integrability of Hietarinta equation [PDF]

Ufa Mathematical Journal, 2021
10 ...
openaire   +2 more sources

Exploring the Chavy–Waddy–Kolokolnikov Model: Analytical Study via Recently Developed Techniques

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work explores the analytical soliton solutions to the Chavy–Waddy–Kolokolnikov equation (CWKE), which is a well‐known equation in biology that shows how light‐attracted bacteria move together. This equation is very useful for analyzing pattern creation, instability regimes, and minor changes in linear situations since bacterial movement is very ...
Jan Muhammad, David Yaro, Usman Younas, Chang Phang   +3 more
wiley   +1 more source