Results 201 to 210 of about 1,858,479 (279)

Discrete Lax Pair for Discrete Toda Equation

open access: yesDiscrete Lax Pair for Discrete Toda Equation
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Newly exploring the Lax pair, bilinear form, bilinear Bäcklund transformation through binary Bell polynomials, and analytical solutions for the (2 + 1)-dimensional generalized Hirota–Satsuma–Ito equation

The Physics of Fluids, 2023
The (2+1)-dimensional generalized Hirota–Satsuma–Ito equation describing the numerous wave dynamics in shallow waters is investigated in this study. The integrable characteristics of the aforesaid equation, such as a bilinear Bäcklund transformation and ...
Shailendra Singh, S. Saha Ray
semanticscholar   +1 more source

Lax pair, Darboux transformation, Weierstrass–Jacobi elliptic and generalized breathers along with soliton solutions for Benjamin–Bona–Mahony equation

International Journal of Modern Physics B, 2023
This paper studies the Lax pair (LP) of the [Formula: see text]-dimensional Benjamin–Bona–Mahony equation (BBBE). Based on the LP, initial solution and Darboux transformation (DT), the analytic one-soliton solution will also be obtained for BBBE.
S. Rizvi   +3 more
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The separation of one-soliton-shock to multi-soliton-shock of dust-ion acoustic wave using Lax pair and Darboux transformation of Burgers’ equation

The Physics of Fluids, 2023
Properties of dust-ion acoustic waves (DIAWs) in an unmagnetized dusty plasma consisting of mobile ions, superthermal electrons, and negatively charged dust clouds with charge fluctuation are investigated.
P. Chatterjee, L. Mandi
semanticscholar   +1 more source

Bäcklund transformations, Lax pair and solutions of a Sharma-Tasso-Olver-Burgers equation for the nonlinear dispersive waves

Modern physics letters B, 2021
Burgers-type equations are considered as the models of certain phenomena in plasma astrophysics, ocean dynamics, atmospheric science and so on. In this paper, a Sharma-Tasso-Olver-Burgers equation for the nonlinear dispersive waves is studied.
Tian-Yu Zhou   +4 more
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Lax pairs

Boletim da Sociedade Brasileira de Matemática, 1984
In the pioneering paper [Commun. Pure Appl. Math. 21, 467-490 (1968; Zbl 0162.411)], \textit{P. Lax} stated a condition under which certain one parameter families of operators \(\{\) L(t)\(\}\) are isospectral, i.e., all the L(t) have the same spectrum.
Neto, Hermano Frid, Thayer, F. Javier
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Lax pairs galore

Journal of Mathematical Physics, 1991
A formula that yields an (apparently—but only apparently—nontrivial) Lax pair for any nonlinear evolution PDE in 1+1 dimensions possessing a local conservation law is presented. Several examples are exhibited.
CALOGERO F., NUCCI, Maria Clara
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