Results 121 to 130 of about 2,945 (146)

The direct method for multisolitons and two-hump solitons in the Hirota-Satsuma system

Physics Letters A, 2020
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Hugo Parra Prado, Luis A. Cisneros-Ake
openaire   +4 more sources

The Hirota’s direct method and the tanh–coth method for multiple-soliton solutions of the Sawada–Kotera–Ito seventh-order equation

Applied Mathematics and Computation, 2008
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Abdul-Majid Wazwaz
openaire   +3 more sources

The Hirota’s direct method for multiple-soliton solutions for three model equations of shallow water waves

Applied Mathematics and Computation, 2008
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Abdul-Majid Wazwaz
openaire   +3 more sources

Neugebauer-Kramer solutions of the Ernst equation in Hirota's direct method

Journal of Physics A: Mathematical and General, 1998
Summary: We prove analytically the Sasa-Satsuma conjecture which states that their solution of bilinear form of the Ernst equation gives the Neugebauere-Kramer solution in particular cases. This proof relates Hirota's direct method with the Bäcklund transformation method and opens the way towards the comprehensive interpretation of the Ernst equation.
Masuda, Tetsu   +2 more
openaire   +4 more sources

Traveling waves solutions of Hirota–Ramani equation by modified extended direct algebraic method and new extended direct algebraic method

International Journal of Modern Physics B, 2023
In this paper, new exact traveling wave solutions are obtained by Hirota–Ramani equation. The many exact complex solutions of several types of nonlinear partial differential equations (NPDEs) are presented using the modified extended direct algebraic approach and new extended direct algebraic method, which is among the most effective mathematical ...
Ashraf, Farrah   +2 more
openaire   +2 more sources

Soliton Solutions of Coupled KdV System from Hirota's Bilinear Direct Method

Communications in Theoretical Physics, 2008
With Hirota's bilinear direct method, we study the special coupled KdV system to obtain its new soliton solutions. Then we further discuss soliton evolution, corresponding structures, and interesting interactive phenomena in detail with plot. As a result, we find that after the interaction, the solitons make elastic collision and there are no exchanges
Yang Jian-Rong, Mao Jie-Jian
openaire   +1 more source

Optical solitons and complexitons for generalized Schrödinger–Hirota model by the modified extended direct algebraic method

Optical and Quantum Electronics, 2023
Mohammed H. Ali   +4 more
openaire   +1 more source

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