Results 71 to 80 of about 1,134 (216)
DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF TWO-BOSON HIERARCHY
, 2011 We study Darboux transformations for the two boson (TB) hierarchy both in the scalar as well as in the matrix descriptions of the linear equation.
U. SALEEM, ASHOK DAS
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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
wiley +1 more source
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
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Generalized Algebraic Bargmann–Darboux Transformations [PDF]
International Journal of Modern Physics A, 1997 Algebraic Bargmann and Darboux transformations for equations of a more general form than the Schrödinger ones with an additional functional dependence h(r) in the right-hand side of equations are constructed. The suggested generalized transformations turn into the Bargmann and Darboux transformations for both fixed and variable values of energy and an
openaire +3 more sources
Exceptional orthogonal polynomials and the Darboux transformation
, 2010 © IOP Publishing Ltd. The research of DGU was supported in part by MICINN-FEDER grant MTM2009- 06973 and CUR-DIUE grant 2009SGR859. The research of NK was supported in part by NSERC grant RGPIN 105490-2004.
D Gómez-Ullate +5 more
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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
wiley +1 more source
Deformed solitons of a typical set of (2+1)–dimensional complex modified Korteweg–de Vries equations
International Journal of Applied Mathematics and Computer Science, 2020 Deformed soliton solutions are studied in a typical set of (2+1)-dimensional complex modified Korteweg–de Vries (cmKdV) equations. Through constructing the determinant form of the n-fold Darboux transformation for these (2+1)-dimensional cmKdV equations,
Yuan Feng, Zhu Xiaoming, Wang Yulei
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Hearing the shape of a drum for light: isospectrality in photonics
Nanophotonics, 2021 The independent tailoring of wave quantities lays the foundation for controlling wave phenomena and designing wave devices. The concept of isospectrality, which suggests the existence of systems that provide identical spectra, has inspired a novel route ...
Park Seungkyun +4 more
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Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non‐linearity and variable dispersion. By employing numerical simulations of a system of coupled non‐linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence ...
Ngaka John Nchejane +2 more
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Diverse Soliton Structures of Induced Curves in the Integrable Coupled Kuralay Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study explores the integrable coupled Kuralay equation, which is widely utilized to study the motion of induced curves. In fields such as ferromagnetic materials, nonlinear optics, and optical fibers, soliton solutions of the Kuralay equation have emerged as significant recent developments.
Shah Muhammad +4 more
wiley +1 more source