共查询到20条相似文献,搜索用时 31 毫秒
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Nonlinear Dynamics - An integrable extension of the Kadomtsev–Petviashvili (KP) and Davey–Stewartson (DS) equations is investigated in this paper. We will refer to this integrable... 相似文献
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Nonlinear Dynamics - An effective and simple method to solve nonlinear evolution partial differential equations is the self-similarity transformation, in which one utilizes solutions of the known... 相似文献
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Nonlinear Dynamics - In this paper, we obtained a kind of lump solutions of ( $$2+1$$ )-dimensional bSK equation with the assistance of Mathematica by using the Hirota bilinear method. These lump... 相似文献
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Nonlinear Dynamics - In this paper, a generalized $$(2+1)$$-dimensional nonlinear wave equation is obtained by extending the generalized $$(2+1)$$-dimensional Hirota bilinear equation into a more... 相似文献
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Nonlinear Dynamics - Under investigation in this paper is a $$(2 + 1)$$ -dimensional extended shallow water wave equation. Bilinear form is obtained via the generalized dependent variable... 相似文献
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Nonlinear Dynamics - In this paper, we consider the (3 $$+$$ 1)-dimensional water wave equation $$u_{yzt}+u_{xxxyz}-6u_{x}u_{xyz}-6u_{xy}u_{xz}=0.$$ Based on Bell polynomials, we obtain its Hirota... 相似文献
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Nonlinear Dynamics - A ( $$3+1$$ )-dimensional generalized shallow water waves equation is investigated with different methods. Based on symbolic computation and Hirota bilinear form, N-soliton... 相似文献
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Nonlinear Dynamics - Under investigation in this work is a $$(2+1)$$ -dimensional Davey–Stewartson system, which describes the surface water wave packets of finite depth. With respect to the... 相似文献
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Nonlinear Dynamics - A variety of new types of nonautonomous combined multi-wave solutions of the ( $$2+1$$ )-dimensional variable coefficients KdV equation is derived by means of the generalized... 相似文献
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Nonlinear Dynamics - In this work, the $$(2+1)$$ -dimensional extended Kadomtsev–Petviashvili equation, which models the surface waves and internal waves in straits or channels, is... 相似文献
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Nonlinear Dynamics - This paper aims at computing M-lump solutions for the $$(3+1)$$ -dimensional nonlinear evolution equation. These solutions in all directions decline to an identical state... 相似文献
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Li Liu-Qing Gao Yi-Tian Hu Lei Jia Ting-Ting Ding Cui-Cui Feng Yu-Jie 《Nonlinear dynamics》2020,100(3):2729-2738
Nonlinear Dynamics - In this paper, we investigate a ( $$2+1$$ )-dimensional Sawada–Kotera (SK) equation for the atmosphere, rivers, lakes, oceans, as well as the conformal field and... 相似文献
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Nonlinear Dynamics - In this paper, we study the existence and bifurcation of subharmonic solutions of a four-dimensional slow–fast system with time-dependent perturbations for the... 相似文献
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Journal of Dynamics and Differential Equations - Let $$\text {Homeo}_{+}(\mathbb {S}^1)$$ denote the group of orientation preserving homeomorphisms of the circle $$\mathbb {S}^1$$ . A subgroup G of... 相似文献
17.
Lorenzo Bertini Stella Brassesco Paolo Buttà 《Archive for Rational Mechanics and Analysis》2008,190(3):477-516
We consider the van der Waals free energy functional in a bounded interval with inhomogeneous Dirichlet boundary conditions
imposing the two stable phases at the endpoints. We compute the asymptotic free energy cost, as the length of the interval
diverges, of shifting the interface from the midpoint. We then discuss the effect of thermal fluctuations by analyzing the
-measure with Dobrushin boundary conditions. In particular, we obtain a non-trivial limit in a suitable scaling in which
the length of the interval diverges and the temperature vanishes. The limiting state is not translation invariant and describes
a localized interface. This result can be seen as the probabilistic counterpart of the variational convergence of the associated
excess free energy. 相似文献
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Yang Chunyu Zhou Qin Triki Houria Mirzazadeh Mohammad Ekici Mehmet Liu Wen-Jun Biswas Anjan Belic Milivoj 《Nonlinear dynamics》2019,95(2):983-994
Nonlinear Dynamics - Interactions of bright solitons in the Heisenberg ferromagnetic spin chain, governed by a $$(2+1)$$ -dimensional nonlinear Schrödinger equation with variable coefficients,... 相似文献
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Nonlinear Dynamics - Burgers-type equations are used to describe certain phenomena in gas dynamics, traffic flow, plasma astrophysics and ocean dynamics. In this paper, a (2 $$+$$ 1)-dimensional... 相似文献
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Nonlinear Dynamics - In this paper, the truncated Painlevé expansion is employed to derive a Bäcklund transformation of a ( $$2+1$$ )-dimensional nonlinear system. This system can be... 相似文献