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Abstract: We treat the stationary (cubic) nonlinear Schr\"odinger equation (NSLE) on simplest graphs. Formulation of the problem and exact analytical solutions of NLSE are presented for star graphs co...
Abstract: We present explicit solutions for the ordinary differential equations system describing the motion of the particles beneath small-amplitude capillary-gravity waves which propagate on the sur...
Abstract: Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitud...
We present explicit solutions for the ordinary differential equations system describing the motion of the particles beneath small-amplitude capillary-gravity waves which propagate on the surface of an...
Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitude waves, w...
Exact solutions of the self-consistent relativistic magnetohydrodynamics equations for an anisotropic magnetized plasma on the background of Bondi-Pirani-Robinson's vacuum plane gravitational wave (P...
Stability of a set of travelling wave solutions to the hyperbolic generalization of the convection-reaction-diffusion equation is studied by means of the qualitative methods and numerical simulation.
Exact solutions of the Kawahara equation by Assas [L.M.B. Assas, J. Com. Appl. Math. 233 (2009) 97--102] are analyzed. It is shown that all solutions do not satisfy the Kawahara equation and conseque...
We introduce higher order polynomial deformations of $A_1$ Lie algebra. We construct their unitary representations and the corresponding single-variable differential operator realizations. We then use...
2007Vol.48No.2pp.295-298DOI: Exact Solutions of the φ6+φ5 Model Using Truncated Method YANG Jian-Song Physics Department, Hangzhou Normal University, Hangzhou 310036, ...
2001Vol.36No.2pp.145-148DOI: Exact Solutions of the Coupled KdV System via a Formally Variable Separation Approach LOU Sen-Yue,1,2 TANG Xiao-Yan1 and LIN Ji1,3,4 1 Appl...
2001Vol.35No.6pp.661-664DOI: Exact Solutions of Two Coupled Harmonic Oscillators Related to the Sp(4,R) Lie Algebra PAN Feng and DAI Lian-Rong Department of Physics, Lia...
2007Vol.48No.1pp.7-10DOI: Exact Solutions to Maccari's System PAN Jun-Ting and GONG Lun-Xun School of Science, Guizhou Normal University, Guiyang 550001, China ...
2007Vol.48No.1pp.53-56DOI: A Class of Quasi-exact Solutions of Rabi Hamiltonian PAN Feng,1,2 YAO You-Kun,1 XIE Ming-Xia,1 HAN Wen-Juan,1 and J.P. Draayer2 1 Department o...
2007Vol.47No.6pp.1001-1009DOI: Coordinate Transformation and Exact Solutions of Schrödinger Equation with Position-Dependent Effective Mass JU Guo-Xing,1 CAI Chang-Ying,1,2 X...

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