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Generative discovery of partial differential equations by learning from math handbooks. [PDF]

Nat Commun
Xu H, Chen Y, Cao R, Tang T, Du M, Li J, Callaghan AH, Zhang D.   +7 more
europepmc   +1 more source

Dynamics and stability of soliton solutions for the seventh-order Sawada-Kotera-Ito equation with applications. [PDF]

Sci Rep
Nimra N, Wang T, Yasin F, Kebaili I, Arshad M, Boukhris I, Alomayrah N, Al-Buriahi MS, Sesay M.   +8 more
europepmc   +1 more source

Numerical investigation of MHD stratified flow over an inclined cylinder with Brownian motion, thermophoresis and waste discharge concentration effects. [PDF]

Sci Rep
Rafique K, Mahmood Z, Abd-Elmonem A, Suoliman NAA, Popa IL, Kumar A.   +5 more
europepmc   +1 more source

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Differential Identities for Nonlinear Partial Differential Equations

Journal of Mathematical Sciences, 2016
Summary: We obtain new algebraic analytic presentations for solutions and coefficients of nonlinear second order differential equations and systems of such equations.
Anikonov, Yu. E., Neshchadim, M. V.
openaire   +1 more source

Nonlinear Partial Differential Equations

2010
In this chapter we shall show how to generalise the results of the previous chapters on finite-dimensional nonlinear systems to partial differential equations. Rather than try to cover any significant part of this vast field, we shall concentrate on two problems, since the ideas then apply to many other nonlinear distributed systems. These two problems
Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal
openaire   +2 more sources

Nonlinear Partial Differential Equations

2009
So far in this text we have been mainly concerned in applying classic methods, the Adomina decomposition method [3, 4, 5], and the variational iteration method [8, 9, 10] in studying first order and second order linear partial differential equations. In this chapter, we will focus our study on the nonlinear partial differential equations. The nonlinear
  +4 more sources

Nonlinear Partial Differential Equations

2002
In this chapter we turn our attention to the study of the dynamical properties of solutions of nonlinear partial differential equations. We are especially interested here in those nonlinear evolutionary equations which arise in the analysis of two broad classes of partial differential equations: parabolic evolutionary equations and hyperbolic ...
George R. Sell, Yuncheng You
openaire   +1 more source

Fully Nonlinear Stochastic Partial Differential Equations

SIAM Journal on Mathematical Analysis, 1996
The authors are concerned with the following stochastic partial differential equation: \[ du(t, .)= L(t, ., u, Du, D^2u) dt+ \langle b(t, .)Du+ h(t, .)u, dW(t) \rangle, \qquad u(0)= u_0, \tag{1} \] where \(L\), \(b\) and \(h\) are suitable functions and \(W\) is an \(\mathbb{R}^N\)-valued Brownian motion.
G. Da Prato, Tubaro, Luciano
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Quantum algorithms for nonlinear partial differential equations

Bulletin des Sciences Mathématiques, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi Jin, Nana Liu
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