Dromion solutions for system of ion sound and Langmuir waves using truncated Painlevé approach. [PDF]
Iqbal M +5 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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Solitary and soliton solutions of the nonlinear fractional Chen Lee Liu model with beta derivative. [PDF]
Hussain A +5 more
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Dynamical description and analytical study of traveling wave solutions for generalized Benjamin-Ono equation. [PDF]
Hassaballa AA +5 more
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Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]
Adem AR +5 more
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The paper is concerned with the applicability of some new conditions for the convergence of Newton–kantorovich approximations to solution of nonlinear singular integral equation with shift of Uryson type. The results are illustrated in generalized Holder
Mohamed Allan, Smah Dardery
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System of nonlinear Volterra’s integral equations with polar kernel and singularities
Nonlinear Analysis: Theory, Methods & Applications, 2007Using one special Colombeau algebra and the method of regularization of fractional derivatives with a delta sequence, the author proves the existence and the uniqueness of the solution of a system of nonlinear Volterra integral equations with polar kernel.
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New methods for solving of nonlinear weakly singular integral equations
Kybernetes, 2006PurposeAims to present a boundary integral equation method for solving Laplace's equation Δu=0 with nonlinear boundary conditions.Design/methodology/approachThe nonlinear boundary value problem is reformulated as a nonlinear boundary integral equation, with u on the boundary as the solution being sought.
Khosrow Maleknejad, Hamid Mesgrani
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Nonlinear Singular Integral Equations
2011Abel’s integral equation, linear or nonlinear, occurs in many branches of scientific fields [1], such as microscopy, seismology, radio astronomy, electron emission, atomic scattering, radar ranging, plasma diagnostics, X-ray radiography, and optical fiber evaluation. Linear Abel’s integral equation is the earliest example of an integral equation.
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Monotonicity Methods for Nonlinear Singular Integral and Integro-Differential Equations
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1983AbstractApplying methods of monotone operator theory existence theorems are proved for some classes of nonlinear singular integral and integro differential equations of Cauchy's type. In particular there are admitted more general nonlinearities in the considered integral equations than in the existing literature.
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