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Genomic signature and evolutionary history of completely cleistogamous lineages in the non-photosynthetic orchid <i>Gastrodia</i>. [PDF]
Suetsugu K +5 more
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The direct method for multisolitons and two-hump solitons in the Hirota-Satsuma system
Physics Letters A, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hugo Parra Prado, Luis A. Cisneros-Ake
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Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul-Majid Wazwaz
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul-Majid Wazwaz
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Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul-Majid Wazwaz
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul-Majid Wazwaz
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Neugebauer-Kramer solutions of the Ernst equation in Hirota's direct method
Journal of Physics A: Mathematical and General, 1998Summary: 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
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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
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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
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Soliton Solutions of Coupled KdV System from Hirota's Bilinear Direct Method
Communications in Theoretical Physics, 2008With 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
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Introduction to the Hirota Direct Method with the Trajectory Approach to Solitons
2023openaire +1 more source

