On certain novel numerical and analytical solutions for the pure-cubic Schrödinger equation in optical fibers with Kerr nonlinearity. [PDF]
Sci RepTariq KU +3 more
europepmc +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Soliton structures and dynamical characteristics of fractional nonlinear waves in the classical Boussinesq framework. [PDF]
Sci RepRimu NN, Islam MA, Dey P.
europepmc +1 more source
Flexible patchy vegetation in a meandering bend: Effect on main flow and dispersion processes
Earth Surface Processes and Landforms, Volume 51, Issue 3, March 2026.The presence of finite flexible and submerged vegetation patches in bends alters the typical curvature‐induced circulation motion and the streamwise velocity distribution, determining a fragmented flow patternThe lateral dispersion and the mass exchanges are strongly influenced by the vegetated patches and turbulent structures forming in patch‐adjacent
Donatella Termini, Nina Benistati
wiley +1 more source
Optimal Control Applications and Methods, Volume 47, Issue 2, Page 570-588, March/April 2026.Implicit third‐order Peer two‐step methods that are superconvergent for variable stepsizes have the potential to significantly improve the efficiency of solving large‐scale ODE‐constrained optimal control problems. These include real‐world applications in medical treatment planning for prostate cancer, such as the design of effective three‐dose drug ...
Jens Lang, Bernhard A. Schmitt
wiley +1 more source
Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Sci RepAlmetwally EM +5 more
europepmc +1 more source
Propellants, Explosives, Pyrotechnics, Volume 51, Issue 3, Page 446-455, March 2026.A low‐speed impact (around one meter per second) of a metallic tip on an explosive confined by a thin plate is simulated. The heat due to friction between the tip and the plate and the one due to the deformation of the plate are not transfered to the ignited zone.
Lucas Bonneau, Didier Picart
wiley +1 more source
Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa-Holm equation. [PDF]
Sci RepAlam MN +5 more
europepmc +1 more source
Qubit‐Efficient Quantum Local Search for Combinatorial Optimization
Advanced Quantum Technologies, Volume 9, Issue 3, March 2026.We introduce a qubit‐efficient variational quantum algorithm for combinatorial optimization that adaptively uses from logarithmic to a linear number of qubits to implement quantum local search. The method encodes flip probabilities of spin groups into quantum amplitudes, enabling exploration of classically intractable neighborhoods while maintaining ...
Mikhail Podobrii +4 more
wiley +1 more source
Advanced fractional soliton solutions of the Joseph-Egri equation via Tanh-Coth and Jacobi function methods. [PDF]
Sci RepShakeel K +6 more
europepmc +1 more source