Results 1 to 10 of about 935,252 (195)
Conservation laws of scaling-invariant field equations [PDF]
J.Phys.A36:8623-8638,2003, 2003 A simple conservation law formula for field equations with a scaling symmetry is presented. The formula uses adjoint-symmetries of the given field equation and directly generates all local conservation laws for any conserved quantities having non-zero scaling weight.
Ablowitz M J +23 more
arxiv +4 more sources
Lie symmetry reductions and exact solutions to a generalized two-component Hunter-Saxton system
AIMS Mathematics, 2021 Based on the classical Lie group method, a generalized two-component Hunter-Saxton system is studied in this paper. All of the its geometric vector fields, infinitesimal generators and the commutation relations of Lie algebra are derived.
Huizhang Yang, Wei Liu, Yunmei Zhao
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Hamiltonians of the Generalized Nonlinear Schrödinger Equations
Mathematics, 2023 Some types of the generalized nonlinear Schrödinger equation of the second, fourth and sixth order are considered. The Cauchy problem for equations in the general case cannot be solved by the inverse scattering transform. The main objective of this paper
Nikolay A. Kudryashov
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Computation of $\mu$-symmetry and $\mu$-conservation law for the Camassa-Holm and Hunter-Saxton equations [PDF]
AUT Journal of Mathematics and Computing, 2023 This work is intended to compute the $\mu$-symmetry and $\mu$-conservation laws for the Cammasa-Holm (CH) equation and the Hunter-Saxton (HS) equation. In other words, $\mu$-symmetry, $\mu$-symmetry reduction, variational problem, and $\mu$-conservation ...
Somayeh Shaban, Mehdi Nadjafikhah
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Jurnal Ilmu Kehutanan, 2021 Law enforcement plays a vital role to prevent the extinction of endangered species, including the Sumatran tiger. We investigated the roles of private sector involvement in Tambling Wildlife Nature Conservation (TWNC) for supporting law enforcement by ...
Ardi Bayu Firmansyah +5 more
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On the Generation of Infinitely Many Conservation Laws of the Black-Scholes Equation
Computation, 2020 Construction of conservation laws of differential equations is an essential part of the mathematical study of differential equations. In this paper we derive, using two approaches, general formulas for finding conservation laws of the Black-Scholes ...
Winter Sinkala
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Split-step quintic B-spline collocation methods for nonlinear Schrödinger equations
AIMS Mathematics, 2023 Split-step quintic B-spline collocation (SS5BC) methods are constructed for nonlinear Schrödinger equations in one, two and three dimensions in this paper.
Shanshan Wang
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Mathematical Modelling and Analysis, 2002 Functionals with values in Non‐Archimedean field of Laurent series applied to the definition of generalized solution (in the form of soliton) of the Hopf equation. Calculation method for the profile of infinitely narrow soliton is proposed. Applying this
M. Radyna
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Tensorial conservation law for nematic polymers [PDF]
, 2013 We derive the "conservation law" for nematic polymers in tensorial form valid for quadrupolar orientational order in contradistinction to the conservation law in the case of polar orientational order.
Grason, Gregory M. +2 more
core +2 more sources
Optics, 2023 This study examines the characteristics of the electromagnetic waves that propagate through an unbounded space filled with a homogeneous isotropic chiral medium.
Hyoung-In Lee
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