Results 71 to 80 of about 3,120 (179)
This study identifies and characterizes the genes encoding cohesin and condensin complexes across Symphytan superfamilies, revealing their structural and functional roles with conserved motifs in maintaining genome stability. Phylogenetic analyses indicate that SMC genes originated from ancient duplication events, with notable gene loss (e.g., CAPG2 ...
Ayşe Rümeysa Nalça +1 more
wiley +1 more source
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Filamentary structures of the cosmic web and the nonlinear Schrödinger type equation [PDF]
We show that the filamentary type structures of the cosmic web can be modeled as solitonic waves by solving the reaction diffusion system which is the hydrodynamical analogous of the nonlinear Schrödinger type equation. We find the analytical solution of
Jones, B J T +5 more
core +2 more sources
In the current research, the new extended direct algebraic method (NEDAM) and the symbolic computational method, along with different test functions, the Hirota bilinear method, are capitalized to secure soliton and lump solutions to the (2+1 ...
M.A. El-Shorbagy +2 more
doaj +1 more source
Nonlinear evolutions equations in hirota's and sato's theories via young and maya diagrams [PDF]
This work relates Hirota direct method to Sato theory. The bilinear direct method was introduced by Hirota to obtain exact solutions for nonlinear evolution equations.
Ali, Noor Aslinda
core
Memories of Hirota’s method: application to the reduced Maxwell–Bloch system in the early 1970s
Who remembers ‘Hirota’s method’? In the early days of solitons, although the Korteweg–de Vries equation had been solved by the ‘inverse scattering method’ most solutions to integrable non-linear equations were found by simpler more direct methods ...
P. J. Caudrey
core +1 more source
Current status of multilayer neutron interferometry with gaseous samples at J‐PARC
First measurements of the neutron scattering lengths of 3He and 4He using a multilayer‐type neutron interferometer at J‐PARC are reported, demonstrating the initial feasibility of the method with prospects for improved precision.Several few‐body nuclear models, such as the Argonne v18 potential including three‐nucleon forces and chiral effective field ...
Taro Nambu +12 more
wiley +1 more source
The search for integrability of nonlinear partial diï¬erential and diï¬erenceequations includes the study on multi-soliton solutions. One of the most fa-mous method to construct multi-soliton solutions is the Hirota direct method.In this thesis, we explain this method in detail and apply it to explicit ex-amples.
openaire +1 more source
Modified simple equation method to the nonlinear Hirota Satsuma KdV system
. In this article, we use the modified simple equation method to construct the exact traveling wave solutions for some nonlinear PDE's in mathematical physics namely the coupled Hirota -Satsuma KdV equations and the generalized coupled Hirota ...
E M E Zayed +2 more
core
The equation of the shallow water wave in oceanography and atmospheric science is extended to (3+1) dimensions, which is a known equation. To achieve this, an illustrative example of the VC generalized shallow water wave equation is provided to ...
Lakestanı, Mehrdad +2 more
core +1 more source

