Results 11 to 20 of about 7,534 (134)
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 ...
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Results in Physics, 2022 Recently, the development of novel methods for finding solutions to partial differential equations has made great progress in various fields of science. These equations are an important tool in describing many phenomena that occur around us. The research
Shahram Rezapour +3 more
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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 +2 more
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New Iterative Method of Solving Nonlinear Equations in Fluid Mechanics
International Journal of Applied Mechanics and Engineering, 2021 This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics.
M. Paliivets +4 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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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 +2 more
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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
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Exact Solutions to the Fractional Differential Equations with Mixed Partial Derivatives
Axioms, 2018 In this paper, the solvability of nonlinear fractional partial differential equations (FPDEs) with mixed partial derivatives is considered. The invariant subspace method is generalized and is then used to derive exact solutions to the nonlinear FPDEs ...
Jun Jiang, Yuqiang Feng, Shougui Li
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Bounder solution on a strip to a system of nonlinear hyperbolic equations with mixed derivatives
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 The system of nonlinear hyperbolic equations with mixed derivatives is considered on the strip. Time variable of the unknown function changes on the whole axis, and the spatial variable belongs to a finite interval.
D.S. Dzhumabaev, S.M. Temesheva
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Advances in Difference Equations, 2020 In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Using the invariant subspace method, some exact
Mohamed S. Abdel Latif +2 more
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