Results 271 to 280 of about 3,788,461 (324)

Modified Darboux transformations with foreign auxiliary equations

Physics Letters A, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Liapunov functions derived from auxiliary exact differential equations

Automatica, 1968
The intuitive and experience based methods that have characterized the development of Liapunov functions are re-examined. Attention is redirected from finding terms of a scalar function or a gradient to components of a vector h. While practical advantages of this perspective would depend on the background of the analyst, it is shown that generally less
Kinnen, E., Chen, C. S.
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Bifurcation and exact traveling wave solutions to a conformable nonlinear Schrödinger equation using a generalized double auxiliary equation method

Optical and quantum electronics, 2023
Boubekeur Gasmi, A. Moussa, Yazid Mati, L. Alhakim, H. Baskonus   +4 more
semanticscholar   +1 more source

New exact solitary wave solutions of the generalized (3 + 1)-dimensional nonlinear wave equation in liquid with gas bubbles via extended auxiliary equation method

Optical and quantum electronics, 2023
J. Sabi’u, Mayssam Tarighi Shaayesteh, A. Taheri, H. Rezazadeh, M. Inc., Ali Akgül   +5 more
semanticscholar   +1 more source

The dynamical study of Biswas–Arshed equation via modified auxiliary equation method

Optik (Stuttgart), 2022
G. Akram, Maasoomah Sadaf, Iqra Zainab
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Soliton solutions of the resonant nonlinear Schrödinger equation using modified auxiliary equation method with three different nonlinearities

Mathematics and Computers in Simulation, 2022
G. Akram, Maasoomah Sadaf, M. A. U. Khan
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On the examination of optical soliton pulses of Manakov system with auxiliary equation technique

Optik (Stuttgart), 2022
Muslum Ozisik, A. Seçer, M. Bayram
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The extended auxiliary equation method for the KdV equation with variable coefficients

Chinese Physics B, 2011
This paper applies an extended auxiliary equation method to obtain exact solutions of the KdV equation with variable coefficients. As a result, solitary wave solutions, trigonometric function solutions, rational function solutions, Jacobi elliptic doubly periodic wave solutions, and nonsymmetrical kink solution are obtained.
Lan-Fang Shi, Cai-Sheng Chen, Xian-Chun Zhou   +2 more
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An Auxiliary Equation for the Bellman Equation in a One-Dimensional Ergodic Control

Applied Mathematics & Optimization, 2001
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New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation

Analysis and Mathematical Physics, 2021
E. Tala-Tebue, A. Korkmaz, H. Rezazadeh, N. Raza   +3 more
semanticscholar   +1 more source