Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinations of known periodic solutions involving Jacobi elliptic functions yield a large class of additional solutions. This procedure works by virtue of some remarkable new identities satisfied by the elliptic functions
AbstractBy using the coincidence degree theory of Mawhin, we study the existence of periodic solutio...
AbstractWe consider the damped-driven KdV equation:u˙−νuxx+uxxx−6uux=νη(t,x),x∈S1,∫udx≡∫ηdx≡0, where...
AbstractThe Cauchy problem for weakly hyperbolic equations is generally not C∞ well posed without as...
Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinati...
In this paper, we obtain some new modular equations of degree2. We obtain several general formulas f...
23 pages. Article à paraître dans Le Ramanujan Journal.International audienceImproving an old idea o...
In this paper, we establish several new modular equations of degree 9 using Ramanujan's modular equa...
For the initial value problem (IVP) associated to the generalized Korteweg-de Vries (gKdV) equation...
In his second notebook, Ramanujan recorded altogether 23 P–Q modular equations involving his theta f...
AbstractAlgorithms for multi-sum summation and intergration of hypergeometric summands and integrand...
In this paper, we establish several new P–Q mixed modular equations involving theta–functions which ...
AbstractIn this Letter, the discrete nonlinear Schrödinger equation with a saturable nonlinearity is...
At scattered places in his notebooks, Ramanujan recorded some theorems for calculating singular ...
AbstractThe second order nonlinear delay differential equation with periodic coefficients x″(t)+p(t)...
Schläfli (J. Reine Angew. Math. 72, 360–369, 1870) has established modular equations involving kk′ a...
AbstractBy using the coincidence degree theory of Mawhin, we study the existence of periodic solutio...
AbstractWe consider the damped-driven KdV equation:u˙−νuxx+uxxx−6uux=νη(t,x),x∈S1,∫udx≡∫ηdx≡0, where...
AbstractThe Cauchy problem for weakly hyperbolic equations is generally not C∞ well posed without as...
Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinati...
In this paper, we obtain some new modular equations of degree2. We obtain several general formulas f...
23 pages. Article à paraître dans Le Ramanujan Journal.International audienceImproving an old idea o...
In this paper, we establish several new modular equations of degree 9 using Ramanujan's modular equa...
For the initial value problem (IVP) associated to the generalized Korteweg-de Vries (gKdV) equation...
In his second notebook, Ramanujan recorded altogether 23 P–Q modular equations involving his theta f...
AbstractAlgorithms for multi-sum summation and intergration of hypergeometric summands and integrand...
In this paper, we establish several new P–Q mixed modular equations involving theta–functions which ...
AbstractIn this Letter, the discrete nonlinear Schrödinger equation with a saturable nonlinearity is...
At scattered places in his notebooks, Ramanujan recorded some theorems for calculating singular ...
AbstractThe second order nonlinear delay differential equation with periodic coefficients x″(t)+p(t)...
Schläfli (J. Reine Angew. Math. 72, 360–369, 1870) has established modular equations involving kk′ a...
AbstractBy using the coincidence degree theory of Mawhin, we study the existence of periodic solutio...
AbstractWe consider the damped-driven KdV equation:u˙−νuxx+uxxx−6uux=νη(t,x),x∈S1,∫udx≡∫ηdx≡0, where...
AbstractThe Cauchy problem for weakly hyperbolic equations is generally not C∞ well posed without as...
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