共查询到9条相似文献,搜索用时 0 毫秒
1.
Zhang Zonglao 《Proceedings Mathematical Sciences》2005,115(3):309-318
This paper is to study the conformal scalar curvature equation on complete noncompact Riemannian manifold of nonpositive curvature.
We derive some estimates and properties of supersolutions of the scalar curvature equation, and obtain some nonexistence results
for complete solutions of scalar curvature equation. 相似文献
2.
Chuanhai Xu Yuhai Wu Lixin Tian Boling Guo 《Journal of Applied Analysis & Computation》2018,8(5):1385-1395
This paper deals with existence problem of traveling wave solutions of a class of nonlinear Schr\"{o}dinger equation having distributed delay with a strong generic kernal. By using the geometric singular perturbation theory and the Melnikov function method, we establish results of the existence of kink and anti-kink wave solutions of the nonlinear Schr\"{o}dinger equation with time delay when the average delay is sufficiently small. 相似文献
3.
We find existence of a nonnegative compactly supported solution of the problem Δu=uα in , ∂u/∂ν=u on . Moreover, we prove that every nonnegative solution with finite energy is compactly supported and radially symmetric in the tangential variables. 相似文献
4.
Martin Ondreját 《Journal of Differential Equations》2010,248(7):1579-1602
We consider a nonlinear wave equation on Rd driven by a spatially homogeneous Wiener process W with a finite spectral measure and with nonlinear terms f, g of critical growth. We study pathwise uniqueness and norm continuity of paths of (u,ut) in H1(Rd)⊕L2(Rd) under the hypothesis that there exists a local solution u such that (u,ut) has weakly continuous paths in H1(Rd)⊕L2(Rd). 相似文献
5.
A similarity analysis of a nonlinear fin equation has been carried out by M. Pakdemirli and A.Z. Sahin [Similarity analysis of a nonlinear fin equation, Appl. Math. Lett. (2005) (in press)]. Here, we consider a further group theoretic analysis that leads to an alternative set of exact solutions or reduced equations with an emphasis on travelling wave solutions, steady state type solutions and solutions not appearing elsewhere. 相似文献
6.
7.
Abdul-Majid Wazwaz 《Applied mathematics and computation》2009,215(4):1548-1552
In this work, a (3 + 1)-dimensional nonlinear evolution equation is investigated. The Hirota’s bilinear method is applied to determine the necessary conditions for the complete integrability of this equation. Multiple soliton solutions are established to confirm the compatibility structure. Multiple singular soliton solutions are also derived. The resonance phenomenon does not exist for this model. 相似文献
8.
Abdul-Majid Wazwaz 《Applied mathematics and computation》2009,215(4):1463-1476
In this work, four (2 + 1)-dimensional nonlinear completely integrable equations, generated by extending the KdV equation are developed. The necessary condition for the complete integrability of these equation are formally derived. Multiple-soliton solutions and multiple singular soliton solutions are determined to emphasize the compatability of these models. The dispersion relations of these models are characterized by distinct physical structures. The resonance phenomenon for these equations does not exist for any model. 相似文献
9.
The goal of this short note is to provide another kind soliton solutions with Hirota form, which is different from what Wazwaz obtained in [A.M. Wazwaz, The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions, Appl. Math. Comput. 204 (2008) 963-972]. Meanwhile we newly construct the MKdV6 equation and derive a Miura transformation between KdV6 equation and MKdV6 equation. 相似文献