Results 41 to 50 of about 128 (120)
Hydrologic Dynamics of Ephemerally Flooded Playas in a Dryland Environment
Water Resources Research, Volume 62, Issue 1, January 2026.Abstract Ephemerally flooded playas are common in the southwestern United States and globally in drylands. Often formed in closed basins, playas are depressions which inundate infrequently from local precipitation and streamflow produced near the playa or from upland areas.
Charles R. Kimsal +4 more
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The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas
Symmetry, Integrability and Geometry: Methods and Applications, 2013 To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group.
Mark E. Fels, Ian M. Anderson
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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 +3 more
wiley +1 more source
On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2010 Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations
Sergey Ya. Startsev
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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
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Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras $A_N$, $B_N$, $C_N$, $G_2$, $D_3$, $A_1^{(1)}$, $A_2^{(2)}$, $D^{(2)}_N$ these systems are proved to be ...
Rustem Garifullin +2 more
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Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiIn this paper we find conditions for a singular point O(0, 0) of a center or a focus type to be a center, in a cubic differential system with one invariant straight line and one invariant cubic.
Dumitru Cozma
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On integrable reductions of two-dimensional Toda-type lattices
Partial Differential Equations in Applied MathematicsThe article considers lattices of the two-dimensional Toda type, which can be interpreted as dressing chains for spatially two-dimensional generalizations of equations of the nonlinear Schrödinger type.
I.T. Habibullin, A.U. Sakieva
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Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations [PDF]
Journal of Sciences, Islamic Republic of Iran, 2006 We consider the class of polynomial differential equation x&= , 2(,)(,)(,)nnmnmPxyPxyPxy++++2(,)(,)(,)nnmnmyQxyQxyQxy++&=++. For where and are homogeneous polynomials of degree i.
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SYMMETRIES AND LAX INTEGRABILITY OF THE GENERALIZED PROUDMAN-JOHNSON EQUATION
Научный вестник МГТУ ГА, 2017 We study local symmetries of the generalized Proudman-Johnson equation. Symmetries of a partial differential equation may be used to find its invariant solutions.
O. I. Morozov
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