Results 1 to 10 of about 44,082 (308)

Integrable nonlinear evolution equations in three spatial dimensions. [PDF]

Proc Math Phys Eng Sci, 2022
Fokas AS.
europepmc   +2 more sources

Randomness and Nonlinear Evolution Equations [PDF]

Acta Mathematica Sinica, English Series, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nahmod, Andrea, Staffilani, Gigliola
openaire   +4 more sources

Minimax Control of Nonlinear Evolution Equations [PDF]

Journal of Mathematical Analysis and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nikolaos S. Papageorgiou, Nikolaos Yannakakis   +1 more
openaire   +2 more sources

On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations [PDF]

Open Communications in Nonlinear Mathematical Physics
We derive the general conditions for fully-nonlinear symmetry-integrable second-order evolution equations and their first-order recursion operators. We then apply the established Propositions to find links between a class of fully-nonlinear third-order ...
Marianna Euler, Norbert Euler
doaj   +1 more source

Soliton equations: admitted solutions and invariances via B\"acklund transformations [PDF]

Open Communications in Nonlinear Mathematical Physics
A couple of applications of B\"acklund transformations in the study of nonlinear evolution equations is here given. Specifically, we are concerned about third order nonlinear evolution equations.
Sandra Carillo, Cornelia Schiebold
doaj   +1 more source

Reductions and Conservation Laws of a Generalized Third-Order PDE via Multi-Reduction Method

Mathematics, 2022
In this work, we consider a family of nonlinear third-order evolution equations, where two arbitrary functions depending on the dependent variable appear. Evolution equations of this type model several real-world phenomena, such as diffusion, convection,
María S. Bruzón, Rafael de la Rosa, María L. Gandarias, Rita Tracinà   +3 more
doaj   +1 more source

New solution algorithm of coupled nonlinear system of Schrodinger equations

Alexandria Engineering Journal, 2018
In this article, new extension of the generalized and improved homogeneous balance method is proposed for constructing new structure of rich class of exact travelling wave solutions of nonlinear evolution equations by using the Maple package.
A. Neirameh, M. Eslami, S. Shokooh
doaj   +1 more source

The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics

Abstract and Applied Analysis, 2014
We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation ...
E. M. E. Zayed, K. A. E. Alurrfi
doaj   +1 more source

Nonlinear Deterministic Equations in Biological Evolution [PDF]

Journal of Nonlinear Mathematical Physics, 2021
Invited review for J. Nonlin.
Jain, Kavita, Seetharaman, Sarada
openaire   +2 more sources

Representation of exact solutions of ψ-fractional nonlinear evolution equations using two different approaches

Partial Differential Equations in Applied Mathematics, 2021
In this paper, we investigate the applicability of the separation of variables method (SVM) and the invariant subspace method (ISM) for getting exact solutions of variable coefficients nonlinear fractional partial differential equations with ψ-Riemann ...
Abass. H. Abdel Kader, Mohamed S. Abdel Latif, Dumitru Baleanu   +2 more
doaj   +1 more source