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Stability of phase transitions in polymers with bistable unit cells

Shikhovtseva, E.S. - In: Physica A: Statistical Mechanics and its Applications 303 (2002) 1, pp. 133-143

Soliton-like switching regimes are investigated for chains of bistable unit cells with energy non-degenerate ground … states. It is shown that there is a set of equilibrium soliton velocities in the chains of bistable units with complicated … internal structure. There are two essentially different regions of soliton initial velocities, so that the low external …

Persistent link: https://www.econbiz.de/10010873929

Conformational transitions in polymers with nonlinear dissipative processes during electronic structure reconstruction

Shikhovtseva, E.S. - In: Physica A: Statistical Mechanics and its Applications 349 (2005) 3, pp. 421-430

Polymer conformational dynamics caused by soliton-like excitations propagation has been investigated. A full set of …

Persistent link: https://www.econbiz.de/10010590454

Negaton and complexiton solutions of sine-Gordon equation

Wu, Hongxia; Fan, Tianyou - In: Physica A: Statistical Mechanics and its Applications 379 (2007) 2, pp. 471-482

transformation (DT). The mutual interactions of multinegaton and interactions of negaton–soliton and negaton–positon are discussed in …

Persistent link: https://www.econbiz.de/10010590744

Solitary waves in van der Waals-like transition in fluidized granular matter

Clerc, M.G.; Escaff, D. - In: Physica A: Statistical Mechanics and its Applications 371 (2006) 1, pp. 33-36

Solitary wave solutions exhibited at the onset of the phase transition in fluidized granular matter are perused. In the quasi-sonic limit the system is modeled by two Korteweg de Vries equations. We study the solitary wave interactions in order to understand the rich dynamics exhibited by the...

Persistent link: https://www.econbiz.de/10010873597

Dromions in (2+1) dimensional ferromagnetic spin chain with bilinear and biquadratic interactions

Anitha, T.; Latha, M.M.; Vasanthi, C. Christal - In: Physica A: Statistical Mechanics and its Applications 415 (2014) C, pp. 105-115

We study the dynamics of (2+1) dimensional ferromagnetic spin chain with bilinear and biquadratic interactions by using Holstein–Primakoff (HP) representation and the coherent state ansatz. The dynamical equations of motion are obtained by using long wavelength approximation. The sine–cosine...

Persistent link: https://www.econbiz.de/10010939931

Ion-acoustic soliton energy in a plasma with nonextensive electrons

Ait Gougam, Leila; Tribeche, Mouloud - In: Physica A: Statistical Mechanics and its Applications 407 (2014) C, pp. 226-230

of the soliton amplitude and width. The soliton energy is depleted as q increases. …

Persistent link: https://www.econbiz.de/10010777048

Some methods for generating solutions to the Korteweg–de Vries equation

Bracken, Paul - In: Physica A: Statistical Mechanics and its Applications 335 (2004) 1, pp. 70-78

The constraint equation which must hold for the reciprocal of a known solution for the Korteweg–de Vries (KdV) equation to be a solution itself is derived. These reciprocal solutions are required to satisfy a differential equation which is in fact a Painlevé equation. A differential...

Persistent link: https://www.econbiz.de/10010588503

Exact cross kink-wave solutions and resonance for the Jimbo–Miwa equation

Dai, Zhengde; Li, Zitian; Liu, Zhenjiang; Li, Donglong - In: Physica A: Statistical Mechanics and its Applications 384 (2007) 2, pp. 285-290

–Miwa equation by using two-soliton method, bilinear method and transforming parameters into complex ones. Moreover, we investigate …

Persistent link: https://www.econbiz.de/10010588611

Multisoliton solutions and stability aspects of higher order discrete nonlinear Schrödinger equation governing protein dynamics

Saravana Veni, S.; Latha, M.M. - In: Physica A: Statistical Mechanics and its Applications 413 (2014) C, pp. 94-103

We propose a discrete model of alpha-helical proteins by taking into account dipole and quadrupole type molecular excitations. The interaction properties of multisolitons are studied both analytically and numerically. We investigate the conditions for the modulation instability (MI) of plane...

Persistent link: https://www.econbiz.de/10011057584

Soliton dynamics and elastic collisions in a spin chain with an external time-dependent magnetic field

Zhang, Hai-Qiang; Tian, Bo; Lü, Xing; Meng, Xiang-Hua - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 3, pp. 367-374

to the linear eigenvalue problem associated with this equation, and obtain the multi-soliton solution with a purely …, although the amplitude, width and depth of soliton vary periodically with time and its symmetry property is changeable, the … soliton can also propagate stably and it possesses particle-like behavior. …

Persistent link: https://www.econbiz.de/10011057776