Results 171 to 180 of about 17,084 (205)

Multiple-soliton solutions for the Lax seventh-order equation

Applied Mathematics and Computation, 2008
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Multiple soliton solutions for a new coupled Ramani equation

Physica Scripta, 2010
In this work, a new sixth-order coupled Ramani equation is proposed. Hereman's method is employed for analytic treatment of this equation. The constraint condition between parameters is established. Multiple soliton solutions and multiple singular soliton solutions are formally derived for this model.
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Negative-Order KdV and Negative-Order KP Equations: Multiple Soliton Solutions

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2017
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On multiple soliton solutions of some simple differential-difference equations

Inverse Problems, 2002
Summary: Two integrable differential-difference equations introduced recently by Hu and Tam are examined. They are shown to come from reductions of the (modified) KP hierarchy. Multiple soliton solutions are presented.
Gilson, Claire R., Hu, Xing-Biao, Barnett, Stephen M.   +2 more
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Multiple soliton solutions for a (2+1)-dimensional integrable KdV6 equation

Communications in Nonlinear Science and Numerical Simulation, 2010
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The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions

Applied Mathematics and Computation, 2008
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Multiple soliton solutions and multiple singular soliton solutions for two integrable systems

Physics Letters A, 2008
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A new fifth-order nonlinear integrable equation: multiple soliton solutions

Physica Scripta, 2011
In this paper, we introduce a new fifth-order nonlinear integrable equation. The Hereman–Nuseri method is used to derive multiple soliton solutions and hence to confirm complete integrability of this equation. The resonance phenomenon of this is investigated.
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Negative‐order modified KdV equations: multiple soliton and multiple singular soliton solutions

Mathematical Methods in the Applied Sciences, 2015
In 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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Integrable couplings of the generalized Vakhnenko equation: multiple soliton solutions

Journal of Vibration and Control, 2014
In this work, we use the algebra of coupled scalars to construct integrable couplings of the generalized Vakhnenko equation. We use the Cole–Hopf transformation and the simplified Hirota’s method to study the developed couplings. We show that these couplings exhibit soliton solutions and anti-soliton solutions consecutively.
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