Results 21 to 30 of about 63 (59)

On Solutions of the Rational Type to Multicomponent Nonlinear Equations [PDF]

, 2015
[Valchev Tihomir; Вълчев Тихомир]In this report we shall propose an algorithm to construct rational type solutions to multicomponent nonlinear evolution equations solvable through inverse scattering transform.
Valchev, Tihomir
core   +1 more source

GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES

Forum of Mathematics, Sigma, 2015
We incorporate the new theory of equivariant moving frames for Lie pseudogroups into Vessiot’s method of group foliation of differential equations. The automorphic system is replaced by a set of reconstruction equations on the pseudogroup jets.
ROBERT THOMPSON, FRANCIS VALIQUETTE
doaj   +1 more source

A Symmetry‐Compatible Auxiliary‐Field Splitting of the Korteweg–de Vries Equation: Exact Linearisation via the Direct and Inverse Pathways

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a symmetry‐compatible exact linearisation of the Korteweg–de Vries (KdV) equation through an auxiliary‐field splitting based on Q = νfx. The term ‘symmetry’ is used here in a structural sense; the linear operator is held fixed across solution families, rather than in the sense of Lie point symmetry groups.
Jorge Rodolfo Silva Zabadal, Claudio Zen Petersen, Vinicius Gadis Ribeiro, Ederson Staudt, Huaiqin Wu   +4 more
wiley   +1 more source

Numerical Solutions of the Conformable Time‐Fractional Caudrey–Dodd–Gibbon–Sawada–Kotera Equation With Proportional Delay by Using the Novel Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study employs the conformable fractional q‐Shehu homotopy analysis transform approach to investigate the nonlinear conformable time‐fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation incorporating a proportional delay term. Error analysis was performed for the results obtained with this method and the analytical solution.
Aslı Alkan, Funda Turk, Hasan Bulut, Ercan Çelik, Smritijit Sen   +4 more
wiley   +1 more source

Construction of an infinite-dimensional family of exact solutions of the Klein–Gordon equation by the hypercomplex method

Partial Differential Equations in Applied Mathematics
The Klein–Gordon equation is one of the fundamental equations of mathematical physics. Therefore, it is important to have exact solutions to this equation. There are many methods for constructing exact solutions to the Klein–Gordon equation.
Vitalii Shpakivskyi
doaj   +1 more source

Unveiling pure-quartic solitons for the generalized nonlinear Schrödinger equation with Kerr nonlinearity using the modified extended direct algebraic method

Nonlinear Engineering
Pure-quartic solitons have recently gained increasing interest due to their unique dispersion landscape, where pulse evolution is governed solely by fourth-order dispersion.
Elsonbaty Nivan M., Ahmed Hamdy M., Badra Niveen M., Zayet Mohamed Mamdouh, Rabie Wafaa B.   +4 more
doaj   +1 more source

The linear BBM-equation on the half-line, revisited

35A20; 35A22; 35B40; 35C05; 35Q35; 76B07; 76B15; BBM equation; Channel surface waves; Contour integral methods; Initial-boundary-value problems; Wavemaker ...
Chatziafratis, A., Bona, J. L., Chen, H., Kamvissis, S.   +3 more
core   +1 more source

On a modified operator associated with x 4/3: asymptotic analysis and improved order of approximation

Demonstratio Mathematica
In this work, we introduce a new operator M n, constructed using a partial differential equation, that is structurally similar to that of the exponential-type operator G n associated with p(x) = x 4/3, x ∈ (0, ∞). However, unlike G n, the operator M n is
Gupta Vijay, Sharma Vaibhav, Goodrich Christopher S.   +2 more
doaj   +1 more source

Hydromagnetic Flow of Casson Fluid Over a Stretching Plane Through Porous Medium

, 2023
Deepak Maurya, Pankaj Kumar Maurya, Satya Deo   +2 more
core   +1 more source

Multiply-connected complementary Hall-plates with extended contacts

, 2023
Udo Ausserlechner
core   +1 more source