Results 151 to 160 of about 17,079 (203)
Exact wave structures with stochastic effects in birefringent optical fibers modeled by cubic-quintic-septic nonlinear Schrödinger equation. [PDF]
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Nonlinear Dynamics, 2018
In this paper, we develop two new fourth-order integrable equations represented by nonlinear PDEs of second-order derivative in time t. The new equations model both right- and left-going waves in a like manner to the Boussinesq equation. We will employ the Painleve analysis to formally show the complete integrability of each equation.
Abdul Majid Wazwaz
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In this paper, we develop two new fourth-order integrable equations represented by nonlinear PDEs of second-order derivative in time t. The new equations model both right- and left-going waves in a like manner to the Boussinesq equation. We will employ the Painleve analysis to formally show the complete integrability of each equation.
Abdul Majid Wazwaz
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Multiple-soliton solutions for a (3+1)-dimensional generalized KP equation
Communications in Nonlinear Science and Numerical Simulation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul Majid Wazwaz
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Multiple-soliton solutions for the Lax–Kadomtsev–Petviashvili (Lax–KP) equation
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul Majid Wazwaz
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The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Yi, Cai, Xiao-Na, Xu, Hong-Xian
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Multiple-soliton solutions of Einstein’s equations
Journal of Mathematical Physics, 1989Using the Belinsky–Zakharov generating technique and a flat metric as a seed, two- and four-soliton solutions of the Einstein vacuum equations for the cases of stationary axisymmetric, cylindrically symmetric, or plane symmetric gravitational fields are considered. Three- and five-parameter classes of exact solutions are obtained, some of which are new.
Economou, A., Tsoubelis, D.
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Negative‐order modified KdV equations: multiple soliton and multiple singular soliton solutions
Mathematical Methods in the Applied Sciences, 2015In this work, we develop the negative‐order modified Korteweg–de Vries (nMKdV) equation. By means of the recursion operator of the modified KdV equation, we derive negative order forms, one for the focusing branch and the other for the defocusing form.
Wazwaz, Abdul-Majid, Xu, Gui-Qiong
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Multiple Soliton Solutions of the Boussinesq Equation
Physica Scripta, 2005Summary: The Boussinesq equation can be considered as the first model for nonlinear dispersive wave prapagation. In the light of the principle of homogeneous balance and with the aid of some suitable transformations, the multiple soliton solutions of the Boussinesq equation are given.
Yu, Jun, Sun, Quanping, Zhang, Weijun
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Physica Scripta, 2012
We give an introduction to a new direct computational method for constructing multiple soliton solutions to nonlinear equations with variable coefficients in the Kadomtsev–Petviashvili (KP) hierarchy. We discuss in detail how this works for a generalized (3 + 1)-dimensional KP equation with variable coefficients.
H M Jaradat +3 more
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We give an introduction to a new direct computational method for constructing multiple soliton solutions to nonlinear equations with variable coefficients in the Kadomtsev–Petviashvili (KP) hierarchy. We discuss in detail how this works for a generalized (3 + 1)-dimensional KP equation with variable coefficients.
H M Jaradat +3 more
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