Chaotic and quasi-periodic dynamics in fractional-order nonlinear wave systems within dispersive-dissipative media. [PDF]
Mohammed WW +4 more
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FIG4 is essential for lysosomal homeostasis. FIG4‐related disorders present as a continuous spectrum from the juvenile lethality in Yunis‐Varon syndrome to an increased risk of amyotrophic lateral sclerosis (ALS) in adult life. FIG4‐related disorders comprise a novel group of disorders of lysosomal homeostasis and can be classified into severe ...
Pankaj Prasun, Matthew Rasberry
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Modulation instability analysis and deriving soliton solutions of new nonlocal Lakshmanan-Porserzian-Daniel equation. [PDF]
Rabie WB, Abbas W, Ramadan ME, Ahmed HM.
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Study of phase separation process in multi-component mixtures using analytical methods and decomposition variational iteration method for the fourth-order Cahn-Hilliard equation. [PDF]
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Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov-Ivanov equation. [PDF]
Shakeel M, Alshammari FS, Ahmadzai HG.
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Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa-Holm equation. [PDF]
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Bifurcation, chaos, modulation instability, and soliton analysis of the schrödinger equation with cubic nonlinearity. [PDF]
Rahaman MS, Islam MN, Ullah MS.
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Homoclinic breather and rogue wave solutions to Maccari equation
Computers and Mathematics With Applications, 2020The (2+1)-dimensional Maccari nonlinear system is given by \begin{align*} \mathrm{i}u_t+u_{xx}+u v & =0\\ v_t + v_y + (|u|^2)_x & =0, \end{align*} where \(u=u(x,y,t)\) and \(v=v(x,y,t)\) are, respectively, complex- and real-valued functions of the temporal variable \(t\) and the spatial variables \(x\) and \(y\).
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Breathers for a Relativistic Nonlinear Wave Equation
Archive for Rational Mechanics and Analysis, 2002The authors of this interesting paper study real-valued solutions to a relativistic nonlinear wave equation of the type \[ \partial^2 u/\partial t^2(x,t)=\partial^2 u/\partial x^2(x,t)+F(u(x,t)), \] \(x\in \mathbb R\). It is assumed that \(u\in C(\mathbb R ^2)\) and the nonlinear term \(F(u)\) is a distribution of the type \[ F(u)= \sum\limits_{k\in ...
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Breather waves, rogue waves and complexiton solutions for a Zakharov–Kuznetsov equation
Journal of Geometry and Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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