Results 11 to 20 of about 40 (39)

New singular solutions of Protter′s problem for the 3D wave equation

Abstract and Applied Analysis, Volume 2004, Issue 4, Page 315-335, 2004., 2004
In 1952, for the wave equation,Protter formulated some boundary value problems (BVPs), which are multidimensional analogues of Darboux problems on the plane. He studied these problems in a 3D domain Ω0, bounded by two characteristic cones Σ1 and Σ2,0 and a plane region Σ0. What is the situation around these BVPs now after 50 years?
M. K. Grammatikopoulos, N. I. Popivanov, T. P. Popov   +2 more
wiley   +1 more source

Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations

International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 663-672, 1992., 1991
In this paper coupled implicit initial‐boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.
Lucas Jódar
wiley   +1 more source

Two effective approaches for solving fractional generalized Hirota-Satsuma coupled KdV system arising in interaction of long waves

Journal of Ocean Engineering and Science, 2019
In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ali Kurt, Hadi Rezazadeh, Mehmet Senol, Ahmad Neirameh, Orkun Tasbozan, Mostafa Eslami, Mohammad Mirzazadeh   +6 more
doaj   +1 more source

New Lower Bounds on the Radius of Spatial Analyticity for the Third‐Order Nonlinear Schrödinger Equation

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we consider the initial value problem associated with the cubic nonlinear Schrödinger equation with third‐order dispersion ∂tu+iα∂x2u+β∂x3u+iγu2u=0,x∈ℝ,t∈ℝ,ux,0=u0x, where α, β and γ are real constants such that β, γ ≠ 0, u is a complex valued function and the initial data u0 is analytic on ℝ and has a uniform radius of analyticity σ0 in
Tegegne Getachew, Xiasheng Shi
wiley   +1 more source

Algebraic Lower Bounds on the Spatial Analyticity Radius for Higher Order Nonlinear Schrödinger Equations

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
We investigate the initial value problem associated to the higher order nonlinear Schrödinger equation i∂tu+−1j+1∂x2ju=u2ju x,t≠0∈ℝ,ux,0=u0x, where j ≥ 2 is any integer, u is a complex valued function, and the initial data u0 is real analytic on ℝ and has a uniform radius of spatial analyticity σ0 in the space variable.
Tegegne Getachew, Birilew Belayneh, Betre Shiferaw, Huaiqin Wu   +3 more
wiley   +1 more source

A placebo‐controlled, double‐blind study evaluating the effect of orally administered polyunsaturated fatty acids on the oclacitinib dose for atopic dogs

Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.
Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley   +1 more source

Entire solutions of some Fermat-type partial differential-difference equations in C2 ${\mathbb{C}}^{2}$

Demonstratio Mathematica
In this paper, we consider Fermat-type functional equations of the formF2(z)+G2(z)=exp(c1z1+c2z2+c0), $${F}^{2}\left(z\right)+{G}^{2}\left(z\right)=\mathrm{exp}\left({c}_{1}{z}_{1}+{c}_{2}{z}_{2}+{c}_{0}\right),$$
Chakraborty Gorachand, Ahamed Molla Basir, Gorai Amiya   +2 more
doaj   +1 more source

Solución aproximada de sistemas diferenciales mixtos

Ingeniería y Ciencia, 2009
En este artículo se propone encontrar una solución aproximada para problemas de valor en la frontera y problemas de valor inicial de un sistema diferencial utilizando el método de los desarrollos de Fer.
Jorge I. Castaño–Bedoya, Orlando García–Jaimes, José A. Sánchez–Cano   +2 more
doaj  

Bifurcation analysis and investigations of optical soliton solutions to fractional generalized third-order nonlinear Schrödinger equation

Open Physics
This study investigates the optical soliton solutions to the generalized third-order nonlinear Schrödinger equation involving the Caputo fractional derivative using new mapping method. The fractional generalized third-order nonlinear Schrödinger equation
Inayat Moazzma, Abbas Muhammad, Yousaf Muhammad Zain, Hamed Y.S., Nazir Tahir, Vivas-Cortez Miguel   +5 more
doaj   +1 more source

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Cauchy Theory for the Water Waves System in an Analytic Framework

Tokyo Journal of Mathematics, 2022
Thomas Alazard
exaly