Noval soliton solution, sensitivity and stability analysis to the fractional gKdV-ZK equation. [PDF]
Shakeel M +7 more
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Dynamical analysis and exact solitary wave solutions of [Formula: see text]-dimensional integro-differential Jaulent-Miodek equation using two analytical schemes. [PDF]
Nasir B +5 more
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Soliton dynamics in the stochastic nonlinear Schrödinger equation with self-phase modulation and multiplicative white noise. [PDF]
Shehab MF, Ahmed HM, Hussein HH.
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Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation. [PDF]
Morgan M, Ahmed HM, Sayed M, Soliman M.
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Some novel soliton solution, breather solution and Darboux transformation for a generalized coupled Toda soliton hierarchy. [PDF]
Yu F, Li L, Feng S.
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Exact noise influenced soliton solutions of a high-order stochastic nonlinear Schrödinger equation with weak nonlocal nonlinearity in a non-Kerr medium. [PDF]
Ali MH +5 more
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Generation of multi-form exact wave solutions and linear stability analysis in the generalized (3+1)-D P-type plasma system using a modified extended mapping technique. [PDF]
Ghayad MS, Ahmed HM, Badra NM, Rabie WB.
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Exact wave structures in magneto-optic soliton channels governed by Kudryashov-type coupled Schrödinger dynamics. [PDF]
Tarek A, Ahmed HM, Badra N, Samir I.
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Soliton management in a variable-coefficient coupled dispersionless system via Darboux transformation. [PDF]
Riaz HWA, Yildirim Y, Alshuhail A.
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Soliton solutions for a quasilinear Schrödinger equation
Summary: Critical point theory is used to show the existence of nontrivial weak solutions to the quasilinear Schrödinger equation \[ -\Delta_p u-\frac{p}{2^{p-1}}u\Delta_p(u^2)=f(x,u) \] in a bounded smooth domain \(\Omega\subset\mathbb{R}^{N}\) with Dirichlet boundary conditions.
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