Advanced soliton structures and elliptic wave patterns in a sixth-order nonlinear Schrödinger equation using improved modified extended tanh function method. [PDF]
Sci RepFahim MM, Ahmed HM, Dib KA, Samir I.
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Psychophysiology, Volume 63, Issue 1, January 2026.ABSTRACT Blunted electrophysiological and striatal responses to reward have been suggested as biomarkers or endophenotypes for depression. However, previous studies did not differentiate between learning from immediate and learning from delayed feedback, which involves different neural structures.
Madita Röhlinger +2 more
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Surface Wave Solutions in 1D and 2D for the Broer–Kaup–Boussinesq–Kupershmidt System
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT The Broer–Kaup–Boussinesq–Kupershmidt (BKBK) system is a singular perturbation of the classical shallow water equations which modifies their transport velocity to depend on wave elevation slope. This modification introduces backward diffusion terms proportional to a real parameter κ$\kappa$.
Darryl D. Holm, Ruiao Hu, Hanchun Wang
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Jacobi-Ritz formulation for modal analysis of thick, anisotropic and non-uniform electric motor stator assemblies considering axisymmetric vibration modes. [PDF]
MeccanicaAndreou P +3 more
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Jacobi-Based Methods In Solving Fuzzy Linear Systems
, 2013 Lazim Abdullah, Nurhakimah Ab. Rahman
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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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Advanced fractional soliton solutions of the Joseph-Egri equation via Tanh-Coth and Jacobi function methods. [PDF]
Sci RepShakeel K +6 more
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Advances in Materials Science and Engineering, Volume 2026, Issue 1, 2026.Fracture mechanics investigates the behavior of materials containing cracks under applied loads, particularly in high‐strength aluminum alloys such as AA7075 used in aerospace and automotive structures. This study evaluates the fracture behavior of AA7075‐T6 through experimental testing, finite element analysis (FEA), and boundary element techniques ...
Tryphone Obuya Oloo +3 more
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Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]
Sci RepAghazadeh A, Lakestani M.
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