Results 31 to 40 of about 9,081 (293)

Numerical solutions of nonlinear fractional Wu–Zhang system for water surface versus three approximate schemes

Journal of Ocean Engineering and Science, 2019
This paper examines the effects of three distinct numerical schemes (Adomian Decomposition, quintic & septic Spline methods) to investigate semi-analytical and approximate solutions on Wu–Zhang (ZW) system.
Mostafa M.A. Khater, Raghda A.M. Attia, Dianchen Lu   +2 more
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BACKLUND TRANSFORMATIONS FOR LIOUVILLE’S EQUATIONS WITH EXPONENTIAL NONLINEARITY

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The study of Backlund 's transformations is one of the current topics in the theory of differential equations in partial derivatives. Such transformations are used to find solutions to nonlinear differential equations, including solitonic ...
T. V. Red'kina, O. V. Novikova
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SINGULAR SOLUTIONS OF CLAIRAUT-TYPE EQUATIONS IN PARTIAL DERIVATIVES WITH REVERSE TRIGONOMETRIC FUNCTIONS

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The problem of evaluation of the special (singular) solutions of Clairaut-type partial differential equations attracts a lot of interest studying various transformations of nonlinear equations of mathematical physics, for example, Legendre
L. L. Ryskina, A. S. Zubtsova, Yu. O. Shavenkova   +2 more
doaj   +1 more source

A $$\overline{\partial }$$-dressing method for the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation

Journal of Nonlinear Mathematical Physics, 2022
AbstractIn this work, we apply the $$\overline{\partial }$$ ∂ ¯ -dressing method to study the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation (CLL–NLS) with non-normalization boundary conditions.
Sun, Shi-Fei, Li, Biao
openaire   +1 more source

Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]

, 2013
This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE, Natroshvili, D, Chkadua, O   +2 more
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ANALYSIS OF NONLINEAR EQUATIONS IN PRIVATE DERIVATIVES ASSOCIATED WITH THE THIRD-ORDER SCATTERING OPERATOR

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. A plurality of nonlinear equations in partial derivatives having a Lax pair are either exactly integrable or equations that allow rich classes of exact solutions.
T. V. Red'kina, O. V. Novikova
doaj   +1 more source

On multi-dimensional partial differential equations with power nonlinearities in first derivatives [PDF]

Ufimskii Matematicheskii Zhurnal, 2017
Summary: We consider a class of multi-dimensional partial differential equations involving a linear differential operator of arbitrary order and a power nonlinearity in the first derivatives. Under some additional assumptions for this operator, we study the solutions of multi-dimensional travelling waves that depend on some linear combinations of the ...
openaire   +2 more sources

An Analytical Technique to Solve the System of Nonlinear Fractional Partial Differential Equations [PDF]

, 2019
The Kortweg–de Vries equations play an important role to model different physical phenomena in nature. In this research article, we have investigated the analytical solution to system of nonlinear fractional Kortweg–de Vries, partial ...
Muhammad Arif, Hassan Khan, Poom Kumam, Rasool Shah   +3 more
core   +1 more source

Numerical solution of the multi-term variable-order space fractional nonlinear partial differential equations [PDF]

, 2021
A numerical approach for solving the multi-term variable-order space fractional nonlinear partial differential equations is proposed. The fractional derivatives are described in the Caputo sense.
Yaslan, H. Cerdik
core   +1 more source

An Initial Problem for a Class of Weakly Degenerate Semilinear Equations with Lower Order Fractional Derivatives

Известия Иркутского государственного университета: Серия "Математика", 2021
An initial value problem is studied for a class of evolutionary equations with a weak degeneration, which are nonlinear with respect to lower order fractional Gerasimov – Caputo derivatives.
G.D. Baybulatova, M.V. Plekhanova
doaj   +1 more source