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Dynamics and stability of soliton solutions for the seventh-order Sawada-Kotera-Ito equation with applications. [PDF]
Nimra N +8 more
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Optical soliton perturbation with complex ginzburg-landau equation having multiplicative white noise and nine forms of self-phase modulation structures. [PDF]
Zayed EME +8 more
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Geometry Reduced Order Modeling (GROM) with application to modeling of glymphatic function.
Solheim A +3 more
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Singularities of Solutions of Singular Integral Equations
Ukrainian Mathematical Journal, 2002This paper deals with a singular integral equation \[ Sq+Tq=f,\tag{1} \] where \(q(x)\) is an unknown function, \[ Sq(x):=aq(x)+\frac{1}{\pi }\text{v.p.} \int_{-1}^{1} \frac{q(\tau)}{\tau -x} d\tau,\;Tq(x):=\int_{-1}^{1}K(x,\tau)q(\tau) d\tau. \] It is assumed that the functions \(f\) and \(K\) smoothly depend on additional parameters.
Kapustyan, V. E., Il'man, V. M.
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Solutions with singularities as almost solutions
Doklady Mathematics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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