Results 51 to 60 of about 246 (93)

Groundstates of the Choquard equations with a sign-changing self-interaction potential

, 2018
We consider a nonlinear Choquard equation $$ -\Delta u+u= (V * |u|^p )|u|^{p-2}u \qquad \text{in }\mathbb{R}^N, $$ when the self-interaction potential $V$ is unbounded from below.
Battaglia, Luca, Van Schaftingen, Jean
core   +1 more source

The Rogue Wave and breather solution of the Gerdjikov-Ivanov equation

, 2011
The Gerdjikov-Ivanov (GI) system of $q$ and $r$ is defined by a quadratic polynomial spectral problem with $2 \times 2$ matrix coefficients. Each element of the matrix of n-fold Darboux transformation of this system is expressed by a ratio of $(n+1 ...
Gerdjikov V. S., Jingsong He, Pei L. M., Shuwei Xu, Zakharov V. E.   +4 more
core   +1 more source

Standing waves of the complex Ginzburg-Landau equation

, 2013
We prove the existence of nontrivial standing wave solutions of the complex Ginzburg-Landau equation $\phi_t = e^{i\theta} \Delta \phi + e^{i\gamma} |\phi |^\alpha \phi $ with periodic boundary conditions. Our result includes all values of $\theta $ and $
Cazenave, Thierry, Dickstein, Flávio, Weissler, Fred B.   +2 more
core   +3 more sources

Chaotic and quasi-periodic dynamics in nonlinear micro-strain wave systems: Exact symbolic solutions and symmetry-based analysis

Results in Engineering
This work presents a systematic theoretical and computational investigation of the micro-strain wave (MSW) model, a fundamental nonlinear evolution equation governing propagation phenomena in media with microscale deformation effects.
Mostafa M.A. Khater
doaj   +1 more source

Existence of solitons in the nonlinear beam equation

, 2011
This paper concerns with the existence of solitons, namely stable solitary waves in the nonlinear beam equation (NBE) with a suitable nonlinearity. An equation of this type has been introduced by P.J. McKenna and W.
Benci, Vieri, Fortunato, Donato
core   +1 more source

Mathematical analysis of some new adequate broad-ranging soliton solutions of nonlinear models through the recent technique

Partial Differential Equations in Applied Mathematics
The Bogoyavlenskii and the simplified modified Camassa-Holm (SMCH) models are studied through the recent technique namely auxiliary equation method in this paper.
M. Ashikur Rahman, M. Al-Amin, Mst. Kamrunnaher, M. Abul Kawser, Rajaul Haque, M. Ali Akbar, M. Nurul Islam   +6 more
doaj   +1 more source

Signatures of partition functions and their complexity reduction through the KP II equation

, 2018
A statistical amoeba arises from a real-valued partition function when the positivity condition for pre-exponential terms is relaxed, and families of signatures are taken into account.
Baxter R. J., Bjorner A., Cover T. M., Dubrovin B., Feynman R. P., Feynman R. P., Gantmacher F. R., Gelfand I. M., Hastie T., Hirota R., Hogben L., Kleinert H., Landau L. D., Ma P., Mario Angelelli, Miwa T., Richter-Gebert J., Sato M.   +17 more
core   +1 more source

A Centre-Stable Manifold for the Energy-Critical Wave Equation in R^3 in the Symmetric Setting [PDF]

, 2012
Consider the focusing semilinear wave equation in R^3 with energy-critical nonlinearity \partial_t^2 \psi - \Delta \psi - \psi^5 = 0, \psi(0) = \psi_0, \partial_t \psi(0) = \psi_1.
Beceanu, Marius
core   +2 more sources

Complete shrinking Riemann solitons [PDF]

Arab Journal of Mathematical Sciences
PurposeThis paper investigates the topological and geometric properties of complete shrinking Riemann solitons (Mm, g, µ, V), extending classical results from Ricci solitons to the more general Riemann soliton setting.Design/methodology/approachWe employ
Mehdi Jafari, Shahroud Azami
doaj   +1 more source

Higher order solitary solutions to the meta-model of diffusively coupled Lotka-Volterra systems. [PDF]

Adv Differ Equ, 2021
Timofejeva I, Telksnys T, Navickas Z, Marcinkevicius R, Ragulskis M.   +4 more
europepmc   +1 more source